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Explanation:
Given,
Length of wire , l = 4 m.
Resistance of wire , R = 10 ohm.
Emf of the battery = 2V
internal resistance = 2 ohm.
We need to find potential gradient,
current flowing in the potentiometer wire , I =E/R+r
={/2/10+2
= 2/12
=1/6
Potential gradient = IR/l
= 1\6×10/4
=0.416666667
=0.416 V/m
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GIVEN
L = 4 m
R = 10 ohm
E = 2 V
Internal Resistance = 2 ohm
External Resistance = 38 ohm
SOLUTION
→ Req = (10 + 2 + 38) = 50 ohm
→ I = E/Req
= 2V/50 ohm
→ V (across 4m long wire) = 2/50 × 10 = 2/5
→ Potential Gradient = 2/(5×4) = 1/10 = 0.1
So, the Potential Gradient along the wire is 0.1 V/m
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