Question

200 J of heat is produced in one second from a resistor of resistance 5 ohm. Find the potential difference across the resistor

Answer 1

Answer:

Given:

Heat produced = 200 J

Resistance = 5 ohm.

Time = 1 sec.

To find:

Potential Difference across the resistor.

Concept:

As a potential difference is applied across the ends of a resistor, current starts to flow through the resistor . This current flow generates a heat through the resistor because of the work done to move the electrons within the circuit.

Calculation:

H = i² × R × T

=> 200 = v²/R × T

=> 200 = (v²/5) × 1

=> v² = 200 × 5 = 1000

=> v = √1000

=> v = 31.62 Volt

So final answer :

Potential Difference = 31.62 Volt

Answer 2

GiveN :

• Heat Energy (H) = 200 J
• Resistance (R) = 5 ohm
• Time (t) = 1s

To FinD :

• Potential Difference across the resistors

SolutioN :

Use formula for Heat Energy :

$\dashrightarrow \boxed{\sf{H \: = \: \dfrac{V^2}{R}t}} \\ \\ \dashrightarrow \tt{200 \: = \: \dfrac{V^2}{5} \: \times \: 1} \\ \\ \dashrightarrow \tt{V^2 \: = \: 200 \: \times \: 5} \\ \\ \dashrightarrow \tt{V^2 \: = \: 1000} \\ \\ \dashrightarrow \tt{V \: = \: \sqrt{1000}} \\ \\ \dashrightarrow \tt{V \: = \: 31.62} \\ \\ \underline{\sf{\therefore \: Potential \: Difference \: across \: Resistor \: is \: 31.62 \: Volts}}$