When a resistor of resistance R is connected across a.c. the terminal p.d. of the cell is reduced to three-quarter its e.m.f. The cell’s internal resistance in terms of R is

a

\(\frac{R}{4}\)

b

\(\frac{R}{3}\)

c

\(\frac{R}{2}\)

d

2\(\frac{R}{3}\)

e

R

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Correct Option
b

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Discussions (14)

DamilolaOmojola
3 years ago

V = 3/4 (I(R + r))
IR = 3(I(R + r))/4
4R = 3R + 3r
R = 3r
r = R/3 (B) ✓

Lakefrosh01
1 year ago
Image

This better explains how to go about the question

Emmytoks123
4 years ago

The answer should be option B!!!!

Rx.Nino
2 years ago

B

Tyshey
2 years ago

it should be B!!!!!!

Flomma
3 years ago

B

Isabelle101
1 year ago

Guysssssss. Listen. The terminal p.d is the potential difference or work done across the terminals of a cell in delivering current to an external resistor. This is V=IR. Lost volatge is the workdone across the internal resistance of a cell. This is v=Ir.

Now, the question stated the terminal p.d is reduced to 3/4 so...

E= V+v
E= IR+Ir
IR=3/4IR + Ir
Ir= IR-3/4IR
dividing both sides by I(curent)
r=R-3/4R
r= R/4

Lakefrosh01
11 months ago

Incomplete values

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