Question

Length of a potentiometer wire is 500 cm .a battery is connected across it to develop a potential difference of 5v the potential gradient along the wire is

Answer 1

Given:

Length of a potentiometer wire is 500 cm. A battery is connected across it to develop a potential difference of 5 Volts.

To find:

Potential Gradient across the wire?

Calculation:

Potential Gradient along a wire is defined as the potential drop across unit length of wire. This means potential gradient is ratio of potential difference and length of wire.

• Let potential gradient be PG.

$\therefore \: PG = \dfrac{potential \: gradient}{length \: of \: wire}$

$\implies\: PG = \dfrac{5 \: volt}{500 \: cm}$

$\implies\: PG = \dfrac{5 \: volt}{5 \: m}$

$\implies\: PG = 1 \: volt/m$

So, Potential Gradient is 1 Volt/Metre .

Answer 2

Explanation:

Given:

Length of a potentiometer wire is 500 cm. A battery is connected across it to develop a potential difference of 5 Volts.

To find:

Potential Gradient across the wire?

Calculation:

Potential Gradient along a wire is defined as the potential drop across unit length of wire. This means potential gradient is ratio of potential difference and length of wire.

Let potential gradient be PG.

\therefore \: PG = \dfrac{potential \: gradient}{length \: of \: wire} ∴PG=

lengthofwire

potentialgradient

\implies\: PG = \dfrac{5 \: volt}{500 \: cm} ⟹PG=

500cm

5volt

\implies\: PG = \dfrac{5 \: volt}{5 \: m} ⟹PG=

5m

5volt

\implies\: PG = 1 \: volt/m⟹PG=1volt/m

So, Potential Gradient is 1 Volt/Metre .