A cell of internal resistance 3 Ω and emf 10 volt is connected to a uniform wire of length 500 cm and resistance 3 ohm. The potential gradient in the wire is

Question

A cell of internal resistance 3 Ω and emf 10 volt is connected to a uniform wire of length 500 cm and resistance 3 ohm. The potential gradient in the wire is (A) 30mV/cm (B) 2mV/cm (C) 10mV/cm (D) 5V/m

Tardigrade Admin · Accepted Answer

Potential gradient =(( E / R + r )) ( r / L ) =(10 × 3/(3+3) × 5) ⇒ (30/6 × 5)=1 Vm -1 V =10 mV / cm

Q. A cell of internal resistance $3Ω$ and emf 10 volt is connected to a uniform wire of length $500$ cm and resistance 3 ohm. The potential gradient in the wire is

$30$ mV/cm

$2$ mV/cm

$10$ mV/cm

$5$ V/m

Potential gradient $= (\frac{E}{R + r}) \frac{r}{L}$
$= \frac{10 \times 3}{( 3 + 3 ) \times 5}$
$\Rightarrow \frac{30}{6 \times 5} = 1 V m^{- 1}$
$V = 10 mV / c m$

Q. A cell of internal resistance 3Ω and emf 10 volt is connected to a uniform wire of length 500 cm and resistance 3 ohm. The potential gradient in the wire is

30mV/cm

2mV/cm

10mV/cm

5V/m