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A 100 Ω resistor is connected to a 220 V, 50 Hz ac supply. a. What is the rms value of current in the circuit? b. What is the net power consumed over a full cycle?

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Question

A 100 Ω resistor is connected to a 220 V, 50 Hz ac supply.

  1. What is the rms value of current in the circuit?
  2. What is the net power consumed over a full cycle?
Numerical
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Solution

Resistance of the resistor, R = 100 Ω

Supply voltage, V = 220 V

Frequency, v = 50 Hz

a. The r.m.s. value of the current in the circuit is given as:

`"I" = "V"/"R"`

= `220/100`

= 2.20 A

b. The net power consumed over a full cycle is given as:

P = VI

= 220 × 2.2

= 484 W

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Chapter 7: Alternating Current - EXERCISES [Page 200]

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NCERT Physics Part I and II [English] Class 12
Chapter 7 Alternating Current
EXERCISES | Q 7.1 | Page 200
NCERT Physics Part I and II [English] Class 12
Chapter 7 Alternating Current
Exercise | Q 7.1 | Page 266

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