Question

The length of the wire of the potentiometer is 5 meters. What will be the value of the voltage gradient when 5 volts electromotive force is applied at its ends?​

Answer 1

Answer:

1 volt/meter

Explanation:

potential gradient or voltage gradient is calculated as V/L, where V is the voltage across the potentiometer wire and the L is the length of the wire in the potentiometer.

according to question V=EMF= 5V

AND

L=5m

so

V/L

=5/5

i.e. 1 Volt/metre

Answer 2

SOLUTION

GIVEN

The length of the wire of the potentiometer is 5 meters.

TO DETERMINE

The value of the voltage gradient when 5 volts potential difference is applied at its ends

EVALUATION

Here it is given that the length of the wire of the potentiometer is 5 meters.

Also 5 volts potential difference is applied at its ends

So by the given condition

D = The length of the wire of the potentiometer

= 5 meters

V = The potential difference is applied at its ends

= 5 volts

We know that voltage gradient is a difference in electrical potential across a distance or space.

More precisely voltage gradient is potential drop per unit length of wire.

Thus the required value of the voltage gradient

$\displaystyle \sf{ = \frac{V}{D} \: \: \: volt / meter }$

$\displaystyle \sf{ = \frac{5}{5} \: \: \: volt / meter }$

$\displaystyle \sf{ = 1 \: \: \: volt / meter }$

FINAL ANSWER

The value of the voltage gradient

= 1 volt / meter

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