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Standard X

Physics

Resistance

Circuit 1 and...

Question

Circuit 1 and circuit 2 consists of resistor $R_{1}$ and $R_{2}$ respectively. These resistors have same resistivity and thickness. Length of $R_{1}$ > length of $R_{2}$ . If same voltage is applied across the circuits, which circuit has more current?

Circuit 1

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Circuit 2

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Equal currents

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Insufficient information

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Solution

The correct option is A Circuit 1
Resistance is given by:
$R = \frac{ρ l}{A}$
where:
$R$ : Resistance
$l$ : Length of the wire
$A$ : Area of the cross-section of wire
$ρ$ : Resistivity of the material.

The resistors have the same material and thickness. Hence,
$R \propto l$

Length of circuit 1 is more, so is it's resistance.

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Circuit 1 and circuit 2 consists of resistor R1 and R2 respectively. These resistors have same resistivity and thickness. Length of R1 > length of R2. If same voltage is applied across the circuits, which circuit has more current?

The correct option is A Circuit 1Resistance is given by: R=ρlA where: R: Resistance l: Length of the wire A: Area of the cross-section of wire ρ: Resistivity of the material. The resistors have the same material and thickness. Hence, R∝l Length of circuit 1 is more, so is it's resistance.

Circuit 1 and circuit 2 consists of resistor $R_{1}$ and $R_{2}$ respectively. These resistors have same resistivity and thickness. Length of $R_{1}$ > length of $R_{2}$ . If same voltage is applied across the circuits, which circuit has more current?