A wire is 10m long and reseistance of wire is 20ohm. A potential difference of 10^-5volt/cm is to be created along the length of the wire . Find the value of R needed if Es=1.082V and the galvanometer shows no deflection.
Gives
Length (l)=10 m
Resistance (R)=20 ohm
Potential difference (V)="10^{-3} V\/m"
Es=1.082V
R'=?
We know that V=IR
Current (I)="\\frac{10^{-3}}{20}=5\\times10^{-5}A"
Then we know that
"E_s=\\frac{I(R'+R)}{l}"
Put value
"1.082=\\frac{5\\times10^{-5}\\times(R'+20)}{10}"
R'=216380 ohm
R'=0.22"M\\Omega"
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