1.

A wheatstone bridge is almost balanced, with point C grounded.Calculate :- (a) The potential of point B (b) The potential of point D (c) If a galvanometer is connected between B and D, what is the direction of current through it? (d) For what value of the resistance BC, would the bridge be in balanced state?

Answer»

(a) Current through arm ABC,

I = \(\frac{48}{10+20}\)

= 1.6A

Potential difference across B and C, 

= VB - VC

= 1.6 × 20

= 32V 

As,

Vc = 0

So,

VB = +32V

(b) Current through arm ADC,

I' = \(\frac{48}{5+11}\) 

= 3A

Potential difference across D and C,

= VD - VC

= 3 × 11 

= 33V

As,

Vc = 0

So,

VD = 33V

(c) As VD > Vc

So direction of current will be from D to B.

(d) The bridge will be balanced when : 

\(\frac{10}{R}\) \(\frac{5}{11}\)

or R = \(\frac{10\times 11}{5}\)  

= 22Ω.



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