A cell has an open circuit voltage V1 and a closed circuit voltage V2 when a current is flowing through it. Therefore, the internal resistance of the cell is

a

\(\frac{V_2}{I}\)

b

\(\frac{V_1}{I}\)

c

\(\frac{(V_1 + V_2)}{I}\)

d

\(\frac{(V_1 - V_2)}{I}\)

e

\(\frac{(V_2 - V_1)}{I}\)

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Explanation

Correct Option
d

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Discussions (13)

Efranklyn
4 years ago

The correct answer is D because
From the relationship between EMF, Potential difference and the lost voltage we have that
E = V+v -------(1)
Where E is the open circuit voltage when it is not driving any current to the external circuit
Where V is the closed circuit voltage the cell is now supplying current to the external circuit now.
E - V = v ----------(2)
Where v = Ir ----------(3)
Substituting eqn (3) to (2)
r = E-V/I

Cletusclevica
5 years ago

My school the answer should be D cuz when its an open circuit its an electromotive force where the circuit does no work. So it should be v1-v2/1

Mceelordbrain
5 years ago

it is D open circuit voltage v1 is Emf

Adaobiiiii
3 years ago

E=I (R+r)
V1=IR+Ir
V1=V2 +Ir
V1-V2=Ir
(V1 -V2)/I =r

The correct answer is D

prince_coder10
1 year ago

the answer should be D

lordnewton
5 years ago

v1 should be before the equals sign

open circuit voltage is EMF

Refhord
3 years ago

Someone should please explain
I thought that in an open circuit current cannot flow through it

OsagieN
2 years ago

𝐃✅✅

VincentOwoniyi
2 years ago

pls change this ans. IT is D✅

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