Question

a microwave is rated 2500 watts when connected to a 100 volt power supply. what is the resistance of the microwave​

Answer 1

Answer:

Given:

Power rating of microwave = 2500 watt

Voltage supply = 100 volt

To find:

Resistance of the microwave

Concept:

Power refers to the rate of doing work. Considering that the microwave does give 2500 watt power output at a voltage of 100 V , we can say that it's total rating will be :

2500 watt : 100 V

Calculation:

Resistance be R

$power = \dfrac{ {(voltage)}^{2} }{resistance}$

$= > resistance = \dfrac{ {(100)}^{2} }{2500}$

$= > resistance = \dfrac{ 10000}{2500}$

$= > resistance = 4 \: ohm$

So final answer :

Resistance is 4 ohm

Answer 2

GiveN :

• Power (P) = 2500 Watts
• Potential Difference (V) = 100 V

To FinD :

• Resistance of the Microwave

SolutioN :

Use formula for electric power :

$\dashrightarrow \boxed{\sf{P \: = \: \dfrac{V^2}{R}}} \\ \\ \dashrightarrow \tt{R \: = \: \dfrac{V^2}{P}} \\ \\ \dashrightarrow \tt{R \: = \: \dfrac{100^2}{2500}} \\ \\ \dashrightarrow \tt{R \: = \: \dfrac{10000}{2500}} \\ \\ \dashrightarrow \tt{R \: = \: \dfrac{100}{25}} \\ \\ \dashrightarrow \tt{R \: = \: 4} \\ \\ \underline{\sf{\therefore \: Resistance \: of \: microwave \: is \: 4 \: \Omega}}$