Question

When a 12V battery is connected across an unknown resistor there is a current of 2.5mAin the circuit.Find the value of the resistance of the resistor

Answer 1

Given:

Voltage=12volt

Current=2.5×10^-3A

To find:

Resistance=?

Formula:

V=IR

Solution:

R=V/I

R=12/2.5×10^-3

R=4.8×10^3

R=4800 ohms

I hope this helps ( ╹▽╹ )

Answer 2

Solution :

⏭ Given:

✏ Potential difference across battery = 12V

✏ Current flow in circuit = 2.5mA

⏭ To Find:

✏ Resistance of resistor

⏭ Concept:

✏ As per ohm's law potential difference is directly proportional to the current flow.

$\implies \sf \: \large{\red{V \propto{I}}}$

✏ By putting proportionality constant

$\implies \underline{ \boxed{ \bold{ \sf{ \purple{ \large{V = I \times R}}}}}} \: \star$

⏭ Terms indication:

✏ V denotes potential difference

✏ I denotes current flow

✏ R denotes resistance

⏭ Calculation:

$\mapsto \sf \: V = I \times R \\ \\ \mapsto \sf \: 12 = 2.5 \times {10}^{ - 3} \times R \\ \\ \mapsto \sf \: R = \dfrac{12}{2.5 \times {10}^{ - 3} } \\ \\ \mapsto \underline{ \boxed{ \bold{ \sf{ \orange{ \large{R = 4800 \: \Omega}}}}}} \: \gray{ \bigstar}$