Question

A current of 5 A is flowing through a resistor of 10 ohm . Calculate its
potential difference.​

Answer 1

♕ Given :

• Current flowing (I) = 5 A
• Resistance (R) = 10 Ω

To Find :

• Potential difference across the resistors

Solution :

We're given that the current flowing in the circuit is 5 Ampere, and the resistance is of 10 Ohms. we've to find out the potential difference across the resistor.

For this we've to use Ohm's Law :

$\bigstar \: \: \boxed{\sf{V \: = \: IR}}$

Where,

• V is Potential Difference
• I is Current
• R is resistance

$\implies \sf{V \: = \: IR} \\ \\ \implies \sf{V \: = \: 5 \: \times \: 10} \\ \\ \implies \sf{V \: = \: 50}$

$\therefore$ Potential Difference across the resistors is 50 V

_________________________________

Deduction Of Ohm's Law :

Ohm's Law state that the current flowing in the circuit is directly proportional to the Potential difference and vice versa , i.e., If we will increase potential difference current will also be increased. And on removing the proportionality symbol there comes a constant know as Resistance .

Mathematically,

$\longrightarrow \sf{V \: \propto \: I} \\ \\ \implies \sf{V \: = \: IR}$

And, here R is constant. Which means it will show straight line graph if we change the values of the Potential Difference and Current with same difference.

See attached picture for graph of the Resistance

Image Source : Desmos.com

Answer 2

Given :

• Current (I) = 5 A
• Resistance (R) = 10 Ω

To Find :

We have o find the potential difference ?

Explanation :

As, we have to calculate the potential difference (V).

We know the formula to calculate the potential difference.

⇒ V = IR

_______________[PUTTING VALUES]

→ V = 5 × 10

→ V = 50

⇒ V = 50 v