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(a) Calculate the total resistance across AB.

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Question

(a) Calculate the total resistance across AB.

(b) If a cell of e.m.f 2.4 V with negligible internal resistance is connected across AB then calculate the current drawn from the cell.

Numerical
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Solution

(a) Resistors 3 Ω and 5 Ω are in series. The equivalent resistance of these two is 8 Ω.

Now, this 8 Ω is connected with another 8 Ω resistors in parallel.
The equivalent resistance of these two is

`= (8 xx 8)/(8 + 8)`

`= 64/16`

= 4 Ω.

Thus, the total resistance across AB is 4 Ω.

(b) If a cell of e.m.f 2.4 V with negligible internal resistance is connected across AB then the current drawn from the cell is

`= ("Voltage" ("V"))/("equivalent resistance" ("R"))`

`= 2.4/4`

= 0.6 A.

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2021-2022 (March) Set 1

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