Question

If the current through a resistance is halved, then potential difference across the resistance will:
Options
Doubled
Became one fourth
का
ООО
O Halved
Doesn't change​

Answer 1

Solution:

According to ohms law,

$\implies\sf{V = IR}$

here,

• V = voltage
• I = current
• R = resistance

On rearranging,

$\implies\sf{R = \dfrac{V}{I}}$

Now,

• The current flowing through the circuit is halved (I') = I/2

Hence,

 $\implies\sf{R' = \dfrac{V}{I'}}$

$\implies\sf{R '= \dfrac{V}{\dfrac{I}{2}}}$

$\implies\sf{R' = \dfrac{2V}{I}}$

Now,

$\implies\sf{R' = 2\times\dfrac{V}{I}}$

$\implies\boxed{\sf{R' = 2R}}$

The new resistance is double the initial resistance.

Answer 2

Answer:

If the current through a resistance is halved, then potential difference across the resistance will:

(a) Doubled✔️

(b) Became one fourth

का

(c) Halved

(d) Doesn't change