Question

A wire has a length of 2m and a resistance of 10Ω. It is connected in series with a resistance of 990Ω and a cell of e.m.f. 2V. The potential gradient along the wire will be ______

पर्याय

• 0.01 V/m

• 10 V/m

• 0.1 V/m

• 1 V/m

Answer 1

A wire has a length of 2m and a resistance of 10Ω. It is connected in series with a resistance of 990Ω and a cell of e.m.f. 2V. The potential gradient along the wire will be 0.01 V/m.

Explanation:

Total resistance = R = 990 + 10 = 1000 Ω

Current I = `V/R = 2/1000 = 2 xx 10^-3 A`

P.D. across the wire = `I xx R_{wire}`

= `2 xx 10^-3 xx 10 = 2 xx 10^-2 V`

Potential gradient = `"P.D. across the wire"/"Length of the wire" = (2 xx 10^-2)/2 = 10^-2` V/m = 0.01 V/m