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Difference between revisions of "Electrical Power"

(Example Calculations)
(Example Calculations)
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===Example Calculations===
 
===Example Calculations===
 
{| class="wikitable"
 
{| class="wikitable"
| style="height:20px; width:200px; text-align:center;" |A light bulb is supplied a current of 625mA. The [[Potential Difference|potential difference]] across the terminals on the [[Electrical Bulb|light bulb]] is 96 [[volt]]s. Calculate the [[power]] of the [[Electrical Bulb|bulb]] correct to two [[Significant Figures|significant figures]].
+
| style="height:20px; width:300px; text-align:center;" |A light bulb is supplied a current of 625mA. The [[Potential Difference|potential difference]] across the terminals on the [[Electrical Bulb|light bulb]] is 96 [[volt]]s. Calculate the [[power]] of the [[Electrical Bulb|bulb]] correct to two [[Significant Figures|significant figures]].
| style="height:20px; width:200px; text-align:center;" |A [[Electrical Kettle|kettle]] is plugged into the [[Mains Electricity|mains supply]] which operates at 230V. It receives a current of 9.2Amps  Calculate the power of the kettle correct to two [[Significant Figures|significant figures]].
+
| style="height:20px; width:300px; text-align:center;" |A [[Electrical Kettle|kettle]] is plugged into the [[Mains Electricity|mains supply]] which operates at 230V. It receives a current of 9.2Amps  Calculate the power of the kettle correct to two [[Significant Figures|significant figures]].
 
|-
 
|-
| style="height:20px; width:200px; text-align:left;" |'''1. State the known quantities'''
+
| style="height:20px; width:300px; text-align:left;" |'''1. State the known quantities'''
  
 
I = 625mA = 0.625A
 
I = 625mA = 0.625A
  
 
V = 96V
 
V = 96V
| style="height:20px; width:200px; text-align:left;" |'''1. State the known quantities'''
+
| style="height:20px; width:300px; text-align:left;" |'''1. State the known quantities'''
  
 
I = 9.2A
 
I = 9.2A
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V = 230V
 
V = 230V
 
|-
 
|-
| style="height:20px; width:200px; 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]].'''
  
 
<math>P = IV</math>
 
<math>P = IV</math>
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<math>P = 60W</math>
 
<math>P = 60W</math>
| style="height:20px; width:200px; 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]].'''
  
 
<math>P = IV</math>
 
<math>P = IV</math>

Revision as of 20:37, 2 March 2019

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

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

I = 625mA = 0.625A

V = 96V

1. State the known quantities

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.

\(P = IV\)

\(P = I \times V\)

\(P = 9.2 \times 230\)

\(P = 2116W\)

\(P \approx 2100W\)