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Question

Eleven 15 Ω and four 7 Ω resistors are connected in series. If a new resistance of 21 Ω is added in series, the change in the effective resistance would be:
  1. 21

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Solution

The correct option is A 21
Given:
11 resistors each of resistance 15 Ω and 4 resistors each of resistance 7 Ω are connected in series.
Effective resistance in series,
Reff=11×15 Ω + 4×7 Ω=193 Ω
A new resistor of resistance 21 Ω is added to the series.
New effective resistance, Reff=Reff + 21 Ω=193+21=214 Ω
Change in effective resiatance =ReffReff=214193=21 Ω.

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