Electric Resistance and OHM's Law
ICSE · Class 12 · Physics
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A wire of resistance 5 Ω carries a current of 2 A. Find the potential difference across the wire.
A conductor has length 2 m, cross-sectional area 1 × 10^-6 m^2, and resistivity 2 × 10^-7 Ω m. Find its resistance.
A wire of length 4 m and area of cross-section 2 × 10^-6 m^2 has resistance 8 Ω. Find its resistivity.
A wire has resistance 3 Ω. It is stretched to 3 times its original length without changing its volume. Find the new resistance.
Sample Questions
A wire becomes 1/2 as thick after stretching, with volume unchanged. If its original resistance was 4 Ω, find the new resistance.
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64 Ω
If the wire becomes 1/2 as thick, the radius becomes half. Using R2/R1 = (r1/r2)^4, we get R2 = (2^4) × 4 Ω = 64 Ω.
Three resistors of 2 Ω, 3 Ω, and 5 Ω are connected in series across a battery. Find the equivalent resistance.
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10 Ω
For series combination, equivalent resistance is the sum of all resistances: 2 + 3 + 5 = 10 Ω.
Three resistors of 2 Ω, 3 Ω, and 6 Ω are connected in parallel. Find the equivalent resistance.
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1 Ω
Use 1/R = 1/2 + 1/3 + 1/6 = 3/6 + 2/6 + 1/6 = 1. So R = 1 Ω.
A bulb rated 60 W at 240 V is connected to its rated supply. Find the current through it.
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0.25 A
Use P = VI, so I = P/V = 60/240 = 0.25 A.
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