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NEET2008PhysicsCurrent ElectricityActual

A galvanometer having a resistance of 8 is shunted by a wire of resistance 2 . If the total current is 1 A , the part of it passing through the shunt will be

Options

  1. A0.25 A
  2. B0.8 A
  3. C0.2 A
  4. D0.5 A

Correct answer

B. 0.8 A

Step-by-step solution

Key Idea : Potential difference across galvanometer should be equal to potential difference across shunt. The shunt and galvanometer are connected as shown in figure. Let total current through the parallel combination is i , the current through the galvanometer is i_g and the current through the shunt is i-i_g . The potential difference V_ a b (=V_a-V_b ) is the same for both paths, so array ll & i_g G= (i-i_g ) S or & i_g(G+S)=i S or & i_g i = S S+G array The fraction of current passing through shunt aligned & = i

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