- #1
conscience
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- 36
1. problem statement, all variables and given/known data
1) What is the relationship between Ix
and Rx ?
2) Prove that on varying resistance Rx , Ix reduces to zero .
Assume resistance of Galvanometer is ##r## .
Total resistance in middle branch is ##R## , Variable resistance is ##R_x##
Applying KVL in right loop clockwise ,
##-E_x - I_xr + (I-I_x)R_x =0##
Applying KVL in the left loop clockwise ,
##E_0 - (I-I_x)R = 0##
Solving the above two equations ,
$$I_x = E_0 \frac{R_x}{rR} - \frac{E_x}{r}$$
Now when ##R_x## decreases , the first term decreases and consequently ##I_x## decreases .Finally at a particular value of ##R_x## , ##I_x## becomes zero .The current in the Galvanometer is zero and the circuit is said to be balanced .
Is this correct ?
Thanks
1) What is the relationship between Ix
and Rx ?
2) Prove that on varying resistance Rx , Ix reduces to zero .
Homework Equations
The Attempt at a Solution
Assume resistance of Galvanometer is ##r## .
Total resistance in middle branch is ##R## , Variable resistance is ##R_x##
Applying KVL in right loop clockwise ,
##-E_x - I_xr + (I-I_x)R_x =0##
Applying KVL in the left loop clockwise ,
##E_0 - (I-I_x)R = 0##
Solving the above two equations ,
$$I_x = E_0 \frac{R_x}{rR} - \frac{E_x}{r}$$
Now when ##R_x## decreases , the first term decreases and consequently ##I_x## decreases .Finally at a particular value of ##R_x## , ##I_x## becomes zero .The current in the Galvanometer is zero and the circuit is said to be balanced .
Is this correct ?
Thanks