Difference between revisions of "Electrical Power"
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====Finding Power from Current and Resistance==== | ====Finding Power from Current and Resistance==== | ||
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+ | | style="height:20px; width:300px; text-align:center;" |A [[Electrical Bulb|bulb]] uses a [[Electrical Current|current]] of 1.4A and has a [[Electrical Resistance|resistance]] of 9.1Ω. Calculate the '''power''' of the [[Electrical Bulb|bulb]] correct to two [[Significant Figures|significant figures]]. | ||
+ | | style="height:20px; width:300px; text-align:center;" |A 20kΩ [[Electrical Resistor|resistor]] has a [[Electrical Current|current]] of 31mA. Calculate the '''power''' of the [[resistor]] correct to two [[Significant Figures|significant figures]]. | ||
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+ | | style="height:20px; width:300px; text-align:left;" |'''1. State the known quantities in [[SI Unit]]s.''' | ||
+ | | style="height:20px; width:300px; text-align:left;" |'''1. State the known quantities in [[SI Unit]]s.''' | ||
+ | |- | ||
+ | | style="height:20px; width:300px; text-align:left;" |'''2. [[Substitute (Maths)|Substitute]] the numbers into the [[equation]] and [[Solve (Maths)|solve]].''' | ||
+ | | style="height:20px; width:300px; text-align:left;" |'''2. [[Substitute (Maths)|Substitute]] the numbers into the [[equation]] and [[Solve (Maths)|solve]].''' | ||
+ | |} | ||
====Finding Power from Potential Difference and Resistance==== | ====Finding Power from Potential Difference and Resistance==== |
Revision as of 22:23, 2 March 2019
Contents
Key Stage 4
Meaning
Electrical power is the rate of electrical energy transfer in an component.
About Electrical Power
- The SI Units of electrical power are Watts.
- Electrical power is the work done by an electrical current per unit time.
Equations
Power, Work Done and Time
NB: You must remember this equation.
Power = (Electrical Work Done)/(time)
\(P=\frac{W}{t}\)
Where\[P\] = Electrical Power.
\(W\) = Electrical Energy Transferred or Work Done by an electrical current.
\(t\) = The time over which energy is transferred.
Power, Current and Potential Difference
NB: You must remember this equation.
Power = (Current) x (Potential Difference)
\(P=IV\)
Where\[P\] = Electrical Power.
\(I\) = Electrical Current through a component.
\(V\) = Potential Difference across the component.
Power, Current and Resistance
NB: You must remember this equation.
Power = (Current)2 x (Resistance)
\(P=I^2R\)
Where\[P\] = Electrical Power.
\(I\) = Electrical Current through a component.
\(R\) = The resistance of the component.
Power Potential Difference and Resistance
NB: You must remember this equation.
Power = (Current) x (Potential Difference)
\(P=\frac{V^2}{R}\)
Where\[P\] = Electrical Power.
\(V\) = Potential Difference across the component.
\(R\) = The resistance of the component.
Example Calculations
Finding Power from Work Done and Time
An LED uses 842J over a period of 120 seconds. Calculate the power of the LED correct to two significant figures. | A toaster uses 180kJ while toasting some bread for 1 minute and 27 seconds. Calculate the power of the toaster correct to 2 significant figures. |
1. State the known quantities
W = 842J t = 120s |
1. State the known quantities
W = 180kJ = 180x103J t = 1min27s = 87s |
2. Substitute the numbers into the equation and solve.
\(P=\frac{W}{t}\) \(P=\frac{842}{120}\) \(P=7.01616W\) \(P\approx 7.0W\) |
2. Substitute the numbers into the equation and solve.
\(P=\frac{W}{t}\) \(P=\frac{180 \times 10^3}{87}\) \(P=2068.9655W\) \(P\approx 2100W\) |
Finding Power from Potential Difference and Current
A light bulb is supplied a current of 625mA. The potential difference across the terminals on the light bulb is 96 volts. Calculate the power of the bulb correct to two significant figures. | A kettle is plugged into the mains supply which operates at 230V. It receives a current of 9.2Amps Calculate the power of the kettle correct to two significant figures. |
1. State the known quantities in SI Units
I = 625mA = 0.625A V = 96V |
1. State the known quantities in SI Units
I = 9.2A V = 230V |
2. Substitute the numbers into the equation and solve.
\(P = IV\) \(P = I \times V\) \(P = 0.625 \times 96\) \(P = 60W\) |
2. Substitute the numbers into the equation and solve.
\(P = IV\) \(P = I \times V\) \(P = 9.2 \times 230\) \(P = 2116W\) \(P \approx 2100W\) |
Finding Power from Current and Resistance
A bulb uses a current of 1.4A and has a resistance of 9.1Ω. Calculate the power of the bulb correct to two significant figures. | A 20kΩ resistor has a current of 31mA. Calculate the power of the resistor correct to two significant figures. |
1. State the known quantities in SI Units. | 1. State the known quantities in SI Units. |
2. Substitute the numbers into the equation and solve. | 2. Substitute the numbers into the equation and solve. |