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Manipal MET2017PhysicsCurrent Electricity

In the adjoining circuit, the resistances are given in ohm, X and Y are unknown resistances. The current through the 10 resistance is 3A while that through the resistance X is 1 A . No current passes through the galvanometer. The values of the unknown resistances X and Y are respectively

Options

  1. A12 and 12
  2. B12 and 6
  3. C6 and 12
  4. D6 and 6

Correct answer

D. 6 and 6

Step-by-step solution

When no current passes through the galvanometer, the bridge is balanced hence, aligned & P Q = R S & 24+X 10 = 84+Y 30 aligned Also, applying Kirchhoff's law aligned i R & = i^ R^ (parallel) (X+24)+(84)+Y & =3(10+30) X+Y & =12 .....(i) and 3 X-Y & =12 ....(ii) aligned From Eqs. (i) and (ii), we get X=6, Y=6 (neglecting negative value)

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