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In the follwing circuit, two cells have ...

In the follwing circuit, two cells have negligible resistances. For `V_A = 12` V, `R_1 = 500 Omega " and " R = 100 Omega`, the galanometer (G) shows no deflection. Calculate the potential of `V_B`.

Text Solution

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Since there is no deflection in the galvanometer
Current `I = V_A/(R_1 + R)`
`V_A = 12 V" "R_1 = 500 " "R = 100`
`:." I" = 12/(500 + 100) = 12/ 600 A`.
`:." Potential of "V_B = IR`
`R = 100 Omega`
`:." V"_B = 12/600 xx 100 = 2 V`
` :." "V_B = 2 V`
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