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A current of 2 A flows for 10 hours through a 100 ohm resistor. The energy consumed by the resistor will be
Question

A current of 2 A flows for 10 hours through a 100 ohm resistor. The energy consumed by the resistor will be

A.

0.4 kWh

B.

4 kWh

C.

2 kWh

D.

0.02 kWh

Correct option is B

When a current I flows through a resistor R, the power dissipated across the resistor isP=I2RGiven that, current (I)=2 AResistor (R)=100 ΩTime (t)=10 hoursFor time t, the energy consumed by the resistor is,Energy consumed (E)=Pt=I2Rt=22×100×10=4 kWh\text{When a current } I \text{ flows through a resistor } R, \text{ the power dissipated across the resistor is} \\P = I^2 R\\[1.5ex]\text{Given that, current } (I) = 2\, \text{A} \\\text{Resistor } (R) = 100\, \Omega \\\text{Time } (t) = 10\, \text{hours}\\[1.5ex]\text{For time } t, \text{ the energy consumed by the resistor is,} \\\text{Energy consumed } (E) = Pt = I^2 R t = 2^2 \times 100 \times 10 = 4\, \text{kWh}​​

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