Difference between revisions of "Electrical Current"
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| style="height:20px; width:300px; text-align:center;" |A capacitor stores a charge of 10C. It discharges in 12ms. Calculate the current flowing out of the capacitor correct to two [[Significant Figures|significant figures]]. | | style="height:20px; width:300px; text-align:center;" |A capacitor stores a charge of 10C. It discharges in 12ms. Calculate the current flowing out of the capacitor correct to two [[Significant Figures|significant figures]]. | ||
|- | |- | ||
| − | | style="height:20px; width:300px; text-align:left;" |'''1. State the known quantities''' | + | | style="height:20px; width:300px; text-align:left;" |'''1. State the known quantities in correct [[unit]]s.''' |
Q = 15C | Q = 15C | ||
t = 0.5s | t = 0.5s | ||
| − | | style="height:20px; width:300px; text-align:left;" |'''1. State the known quantities''' | + | | style="height:20px; width:300px; text-align:left;" |'''1. State the known quantities in correct [[unit]]s.''' |
Q = 10C | Q = 10C | ||
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| style="height:20px; width: 300px; text-align:center;" |A hairdryer uses a current of 7A for 5 minutes to dry a person’s hair. Calculate the charge flowing through the hairdryer in this time correct to two [[Significant Figures|significant figures]]. | | style="height:20px; width: 300px; text-align:center;" |A hairdryer uses a current of 7A for 5 minutes to dry a person’s hair. Calculate the charge flowing through the hairdryer in this time correct to two [[Significant Figures|significant figures]]. | ||
|- | |- | ||
| − | | style="height:20px; width: 300px; text-align:left;" |'''1. State the known quantities''' | + | | style="height:20px; width: 300px; text-align:left;" |'''1. State the known quantities in correct [[unit]]s.''' |
I = 4A | I = 4A | ||
t = 14s | t = 14s | ||
| − | | style="height:20px; width: 300px; text-align:left;" |'''1. State the known quantities''' | + | | style="height:20px; width: 300px; text-align:left;" |'''1. State the known quantities in correct [[unit]]s.''' |
I = 7A | I = 7A | ||
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| style="height:20px; width: 300px; text-align:center;" |A cloud in a thunderstorm loses 15kC in one lightening strike. At a current of 30,000kA. Calculate how long this lightning strike lasts correct to two [[Significant Figures|significant figures]]. | | style="height:20px; width: 300px; text-align:center;" |A cloud in a thunderstorm loses 15kC in one lightening strike. At a current of 30,000kA. Calculate how long this lightning strike lasts correct to two [[Significant Figures|significant figures]]. | ||
|- | |- | ||
| − | | style="height:20px; width: 300px; text-align:left;" |'''1. State the known quantities''' | + | | style="height:20px; width: 300px; text-align:left;" |'''1. State the known quantities in correct [[unit]]s.''' |
I = 150mA = 150x10<sup>-3</sup>A | I = 150mA = 150x10<sup>-3</sup>A | ||
Q = 240C | Q = 240C | ||
| − | | style="height:20px; width: 300px; text-align:left;" |'''1. State the known quantities''' | + | | style="height:20px; width: 300px; text-align:left;" |'''1. State the known quantities in correct [[unit]]s.''' |
I = 30,000kA = 3x10<sup>7</sup>A | I = 30,000kA = 3x10<sup>7</sup>A | ||
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| style="height:20px; width:300px; text-align:center;" |A toaster has a [[Electrical Resistance|resistance]] of 27 Ohms is plugged into the [[Mains Electricity|mains]] which has a [[Potential Difference|potential difference]] of 230V. Calculate the current flowing through the toaster correct to two [[Significant Figures|significant figures]]. | | style="height:20px; width:300px; text-align:center;" |A toaster has a [[Electrical Resistance|resistance]] of 27 Ohms is plugged into the [[Mains Electricity|mains]] which has a [[Potential Difference|potential difference]] of 230V. Calculate the current flowing through the toaster correct to two [[Significant Figures|significant figures]]. | ||
|- | |- | ||
| − | | style="height:20px; width:300px; text-align:left;" |'''1. State the known quantities''' | + | | style="height:20px; width:300px; text-align:left;" |'''1. State the known quantities in correct [[unit]]s.''' |
V = 9.9V | V = 9.9V | ||
R = 18Ω | R = 18Ω | ||
| − | | style="height:20px; width:300px; text-align:left;" |'''1. State the known quantities''' | + | | style="height:20px; width:300px; text-align:left;" |'''1. State the known quantities in correct [[unit]]s.''' |
| − | |||
V = 230V | V = 230V | ||
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| style="height:20px; width: 300px; text-align:center;" |Calculating the [[Electrical Resistance|resistance]] of a [[buzzer]] connected in series to a 9V battery with an [[ammeter]] reading of 23mA. | | style="height:20px; width: 300px; text-align:center;" |Calculating the [[Electrical Resistance|resistance]] of a [[buzzer]] connected in series to a 9V battery with an [[ammeter]] reading of 23mA. | ||
|- | |- | ||
| − | | style="height:20px; width: 300px; text-align:left;" |'''1. State the known quantities''' | + | | style="height:20px; width: 300px; text-align:left;" |'''1. State the known quantities in correct [[unit]]s.''' |
V = 5.4V | V = 5.4V | ||
I = 0.13mA = 0.13x10<sup>-3</sup> | I = 0.13mA = 0.13x10<sup>-3</sup> | ||
| − | | style="height:20px; width: 300px; text-align:left;" |'''1. State the known quantities''' | + | | style="height:20px; width: 300px; text-align:left;" |'''1. State the known quantities in correct [[unit]]s.''' |
| − | |||
V = 9V | V = 9V | ||
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<math>R\approx 390\Omega</math> | <math>R\approx 390\Omega</math> | ||
| + | |} | ||
| + | |||
| + | ====Finding Potential Difference from Current and Resistance==== | ||
| + | {| class="wikitable" | ||
| + | | style="height:20px; width: 300px; text-align:center;" |A '''current''' of 55mA flows through a [[Electrical Component|component]] with a [[Electrical Resistance|resistance]] of 93 Ohms. Calculate the [[Potential Difference|potential difference]] across this [[Electrical Component|component]] correct to two [[Significant Figures|significant figures]]. | ||
| + | | style="height:20px; width: 300px; text-align:center;" |A 22kΩ [[Electrical Resistor|resistor]] has a '''current''' flowing through it of 6mA. Calculate the [[Potential Difference|potential difference]] across the [[Electrical Resistor|resistor]] correct to two [[Significant Figures|significant figures]]. | ||
| + | |- | ||
| + | | style="height:20px; width: 300px; text-align:left;" |'''1. State the known quantities in correct [[unit]]s.''' | ||
| + | |||
| + | I = 55mA = 55x10<sup>-3</sup>A | ||
| + | |||
| + | R = 93Ω | ||
| + | | style="height:20px; width: 300px; text-align:left;" |'''1. State the known quantities in correct [[unit]]s.''' | ||
| + | |||
| + | I = 6mA = 6x10<sup>-3</sup>A | ||
| + | |||
| + | R = 22kΩ = 22x10<sup>3</sup>Ω | ||
| + | |- | ||
| + | | style="height:20px; width: 300px; text-align:left;" |'''2. [[Substitute (Maths)|Substitute]] the numbers and [[Evaluate (Maths)|evaluate]].''' | ||
| + | |||
| + | <math>I=\frac{V}{R}</math> | ||
| + | |||
| + | <math>55 \times 10^{-3}=\frac{V}{93}</math> | ||
| + | | style="height:20px; width: 300px; text-align:left;" |'''2. [[Substitute (Maths)|Substitute]] the numbers and [[Evaluate (Maths)|evaluate]].''' | ||
| + | |||
| + | <math>I=\frac{V}{R}</math> | ||
| + | |||
| + | <math>6 \times 10^{-3}=\frac{V}{22 \times 10^3}</math> | ||
| + | |- | ||
| + | | style="height:20px; width: 300px; text-align:left;" |'''3. [[Rearrange (Maths)|Rearrange]] the equation and [[Solve (Maths)|solve]].''' | ||
| + | |||
| + | <math>V= 55 \times 10^{-3} \times 93</math> | ||
| + | |||
| + | <math>V= 5.115V</math> | ||
| + | |||
| + | <math>V\approx5.1V</math> | ||
| + | |||
| + | | style="height:20px; width: 300px; text-align:left;" |'''3. [[Rearrange (Maths)|Rearrange]] the equation and [[Solve (Maths)|solve]].''' | ||
| + | |||
| + | <math>V= 6 \times 10^{-3} \times 22 \times 10^3</math> | ||
| + | |||
| + | <math>V= 132V</math> | ||
| + | |||
| + | <math>V\approx130V</math> | ||
|} | |} | ||
Revision as of 08:42, 25 February 2019
Contents
- 1 Key Stage 2
- 2 Key Stage 3
- 3 Key Stage 4
- 3.1 Meaning
- 3.2 About Electrical Current
- 3.3 Equation
- 3.4 Example Calculations
- 3.4.1 Finding Current from Charge and Time
- 3.4.2 Finding Charge from Current and Time
- 3.4.3 Finding Time from Current and Charge
- 3.4.4 Finding Current from Potential Difference and Resistance
- 3.4.5 Finding Resistance from Potential Difference and Current
- 3.4.6 Finding Potential Difference from Current and Resistance
Key Stage 2
Meaning
Electrical Current is the amount of electricity flowing through a wire.
About Electrical Current
- The bigger the electrical current the brighter a bulb and the louder a buzzer.
- If an electrical current goes through an animal it is called an electrical shock.
Key Stage 3
Meaning
An electrical current is a flow of charge.
About Electrical Current
- Current is measured using an Ammeter.
- The units of current are amperes, which are also called amps (A).
- A current in a wire is a flow of electrons which are negatively charged particles.
- Conventional Current flows from positive to negative. This is because electricity was discovered before scientists knew about electrons.
- In a salt solution current is the flow of both positive and negative ions.
Key Stage 4
Meaning
Electrical current is the rate of flow of charge.
About Electrical Current
- Current is measured using an Ammeter.
- The SI Units of current are amperes, which are also called amps (A).
- A current in a wire is a flow of electrons which are negatively charged particles.
- Conventional Current flows from positive to negative. This is because electricity was discovered before scientists knew about electrons.
- In a salt solution current is the flow of both positive and negative ions.
- In a series circuit the current is the same everywhere in the circuit.
- In a parallel circuit the current splits at a junction.
Equation
Equation Linking Current, Charge and Time
NB: You should remember this equation.
Current = (Charge)/(time)
\(I=\frac{Q}{t}\)
Where\[I\] = The electrical current
\(Q\) = The amount of charge flowing past a point.
\(t\) = The time taken for the charge to flow.
- This can give the definition "Current (I) is the (=) amount of charge flowing past a point (Q) per (÷) unit time (t)."
Equation Linking Current, Potential Difference and Resistance
NB: You should remember this equation.
Current = (Potential Difference)/(Resistance)
\(I=\frac{V}{R}\)
Where\[I\] = The electrical current
\(V\) = The potential difference across a component.
\(R\) = The resistance of an component.
Example Calculations
Finding Current from Charge and Time
| A charge of 15 Coulombs passes through a point in a circuit ever 0.5 seconds. Calculate the current flowing past this point correct to two significant figures. | A capacitor stores a charge of 10C. It discharges in 12ms. Calculate the current flowing out of the capacitor correct to two significant figures. |
| 1. State the known quantities in correct units.
Q = 15C t = 0.5s |
1. State the known quantities in correct units.
Q = 10C t = 12ms = 12x10-3s |
| 2. Substitute the numbers into the equation and solve.
\(I=\frac{Q}{t}\) \(I=\frac{15}{0.5}\) \(I=30A\) |
2. Substitute the numbers into the equation and solve.
\(I=\frac{Q}{t}\) \(I=\frac{10}{12 \times 10^{-3}}\) \(I=833.3A\) \(I\approx830A\) |
Finding Charge from Current and Time
| A battery supplies 4Amps to a bulb over a period of 14 seconds. Calculate the charge leaving the battery in this time correct to two significant figures. | A hairdryer uses a current of 7A for 5 minutes to dry a person’s hair. Calculate the charge flowing through the hairdryer in this time correct to two significant figures. |
| 1. State the known quantities in correct units.
I = 4A t = 14s |
1. State the known quantities in correct units.
I = 7A t = 5min = 300s |
| 2. Substitute the numbers and evaluate.
\(I=\frac{Q}{t}\) \(4=\frac{Q}{14}\) |
2. Substitute the numbers and evaluate.
\(I=\frac{Q}{t}\) \(7=\frac{Q}{300}\) |
| 3. Rearrange the equation and solve.
\(Q=4 \times 14\) \(Q = 56C\) |
3. Rearrange the equation and solve.
\(Q=7 \times 300\) \(Q = 2100C\) |
Finding Time from Current and Charge
| A battery charger uses a current of 150mA to deliver a charge of 240 Coloumbs to a battery. Calculate the time taken to charge this battery correct to two significant figures. | A cloud in a thunderstorm loses 15kC in one lightening strike. At a current of 30,000kA. Calculate how long this lightning strike lasts correct to two significant figures. |
| 1. State the known quantities in correct units.
I = 150mA = 150x10-3A Q = 240C |
1. State the known quantities in correct units.
I = 30,000kA = 3x107A Q = 15kC = 15x103 |
| 2. Substitute the numbers and evaluate.
\(I=\frac{Q}{t}\) \(150 \times 10^{-3} = \frac{240}{t}\) |
2. Substitute the numbers and evaluate.
\(I=\frac{Q}{t}\) \(3 \times 10^7 = \frac{15 \times 10^3}{t}\) |
| 3. Rearrange the equation and solve.
\(t=\frac{240}{150 \times 10^{-3}}\) \(t=1600s\) |
3. Rearrange the equation and solve.
\(t=\frac{15 \times 10^3}{3 \times 10^7}\) \(t = 5.0 \times 10^{-4}s\) |
Finding Current from Potential Difference and Resistance
| A potential difference of 9.9V is placed across an 18 Ohm resistor. Calculate the current flowing through the resistor correct to two significant figures. | A toaster has a resistance of 27 Ohms is plugged into the mains which has a potential difference of 230V. Calculate the current flowing through the toaster correct to two significant figures. |
| 1. State the known quantities in correct units.
V = 9.9V R = 18Ω |
1. State the known quantities in correct units.
V = 230V R = 27Ω |
| 2. Substitute the numbers into the equation and solve.
\(I=\frac{V}{R}\) \(I=\frac{9.9}{18}\) \(I=0.55A\) |
2. Substitute the numbers into the equation and solve.
\(I=\frac{V}{R}\) \(I=\frac{230}{27}\) \(I=8.519A\) \(I\approx8.5A\) |
Finding Resistance from Potential Difference and Current
| A student measures a potential difference of 5.4V and a current of 0.13mA across a component. Calculate the resistance of the component. | Calculating the resistance of a buzzer connected in series to a 9V battery with an ammeter reading of 23mA. |
| 1. State the known quantities in correct units.
V = 5.4V I = 0.13mA = 0.13x10-3 |
1. State the known quantities in correct units.
V = 9V I = 23mA = 23x10-3 |
| 2. Substitute the numbers and evaluate.
\(I=\frac{V}{R}\) \(0.13 \times 10^{-3}=\frac{5.4}{R}\) |
2. Substitute the numbers and evaluate.
\(23 \times 10^{-3}=\frac{9}{R}\) |
| 3. Rearrange the equation and solve.
\(R=\frac{5.4}{0.13 \times 10^{-3}}\) \(R=41538.46\Omega\) \(R\approx 42000\Omega\) |
3. Rearrange the equation and solve.
\(R=\frac{9}{23 \times 10^{-3}}\) \(R=391.3043\Omega\) \(R\approx 390\Omega\) |
Finding Potential Difference from Current and Resistance
| A current of 55mA flows through a component with a resistance of 93 Ohms. Calculate the potential difference across this component correct to two significant figures. | A 22kΩ resistor has a current flowing through it of 6mA. Calculate the potential difference across the resistor correct to two significant figures. |
| 1. State the known quantities in correct units.
I = 55mA = 55x10-3A R = 93Ω |
1. State the known quantities in correct units.
I = 6mA = 6x10-3A R = 22kΩ = 22x103Ω |
| 2. Substitute the numbers and evaluate.
\(I=\frac{V}{R}\) \(55 \times 10^{-3}=\frac{V}{93}\) |
2. Substitute the numbers and evaluate.
\(I=\frac{V}{R}\) \(6 \times 10^{-3}=\frac{V}{22 \times 10^3}\) |
| 3. Rearrange the equation and solve.
\(V= 55 \times 10^{-3} \times 93\) \(V= 5.115V\) \(V\approx5.1V\) |
3. Rearrange the equation and solve.
\(V= 6 \times 10^{-3} \times 22 \times 10^3\) \(V= 132V\) \(V\approx130V\) |