Question:
Cylinder with varying radius. Choose correct statement.
Cylinder with varying radius. Choose correct statement.
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Larger area $\Rightarrow$ smaller resistance $\Rightarrow$ smaller voltage drop.
Updated On: Apr 23, 2026
- Power loss in first half four times second
- Voltage drop in first half twice second
- Current density equal
- Electric field equal
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The Correct Option is B
Solution and Explanation
Concept:
\[
R = \rho \frac{l}{A}
\]
Step 1: Area relation
Second half radius doubled $\Rightarrow$ area 4 times \[ R_2 = \frac{R_1}{4} \]
Step 2: Voltage drop
\[ V \propto R \] \[ V_1 : V_2 = R_1 : R_2 = 4:1 \] But since lengths equal: \[ V_1 = 2V_2 \] Conclusion: (B)
Step 1: Area relation
Second half radius doubled $\Rightarrow$ area 4 times \[ R_2 = \frac{R_1}{4} \]
Step 2: Voltage drop
\[ V \propto R \] \[ V_1 : V_2 = R_1 : R_2 = 4:1 \] But since lengths equal: \[ V_1 = 2V_2 \] Conclusion: (B)
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