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26/07/2021 12:07 pm
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Calculate the power used in the 2 Ω resistor in each of the following circuits :
(i) a 6 V battery in series with 1 Ω and 2 Ω resistors.
(ii) a 4 V battery in parallel with 12 Ω and 2 Ω resistors.
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26/07/2021 1:29 pm
(i) V = 6 volt, R1 = 1 Ω, R2 = 2Ω
Equivalent resistance = R1 + R2
= 1 + 2 = 3Ω
Total current I = \frac{V}{R}
= \frac{6}{3} = 2A
Current through R2 = I2 = I = 2A
Voltage across R2 = V2 = I2R2
= 2 x 2 = 4Ω
Power used in R2 = I2V2
= 2 x 4 = 8W
(i) V = 4 volt, R1 = 12 Ω, R2 = 2Ω
Voltage across R2 = V2 = V = 4V
Current across R2 = I2 = \frac{V_2}{R_2}
= 2A
Power used in R2 = I2V2
= 2 x 4 = 8W