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Maharashtra State BoardSSC (English Medium) 10th Standard

Heat energy is being produced in a resistance in a circuit at the rate of 100 W. The current of 3 A is flowing in the circuit. What must be the value of the resistance?

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Question

Heat energy is being produced in a resistance in a circuit at the rate of 100 W. The current of 3 A is flowing in the circuit. What must be the value of the resistance?

Numerical
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Solution

Given: Power, P = 100 W

Current, I = 3 A

Resistance, R = ?

We know, P = I2R

⇒ R = `P/I^2`

= `100/3^2`

= `100/9`

= 11.11 Ω

∴ The value of the resistance is 11.11 Ω.

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Chapter 4: Effects of electric current - Exercise [Page 61]

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Balbharati Science and Technology Part 1 [English] Standard 10 Maharashtra State Board
Chapter 4 Effects of electric current
Exercise | Q 12. a. | Page 61

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