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An electric fan of resistance 110 ohms is plugged into a potential difference of 220 V. How much current flows through the fan?
Question

An electric fan of resistance 110 ohms is plugged into a potential difference of 220 V. How much current flows through the fan?

A.

½ A

B.

4 A

C.

¼ A

D.

2 A

Correct option is D

The correct option is(D) 2 A.

Explanation:
UsingOhm's Law:

Where:I=VRI = \frac{V}{R}​​

  • IIIis thecurrent

  • VVVis thepotential difference (voltage)

  • RRRis theresistance

Substitute the values:

I=220 V110 Ω=2 AI = \frac{220 \, \text{V}}{110 \, \Omega} = 2 \, \text{A}

Information Booster:

  • Ohm's Lawis fundamental in understanding the relationship betweenvoltage,current, andresistance.

  • Resistance (R)is measured inohms (Ω), andcurrent (I)is measured inamperes (A).

  • The fan has a resistance of110 ohms, and a220 Vvoltage is applied across it, leading to a current of2 A.

Power Consumption:

  • Thepowerconsumed by the fan can be calculated usingP=V×IP = V \times IP=V×I.

  • Substituting the values,P=220V×2A=440WP = 220 \, \text{V} \times 2 \, \text{A} = 440 \, \text{W}P=220V×2A=440W, meaning the fan uses440 wattsof power.

Current Flow:

  • Thecurrent (I)depends on both thevoltageandresistanceaccording toOhm's Law. Higher resistance results in lower current for the same voltage.

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