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JIPMER2009PhysicsCurrent Electricity

The resistance of an ammeter is 13 and its scale is graduated for a current upto 100 A . After an additional shunt has been connected to this ammeter it becomes possible to measure currents upto 750 A by this meter. The value of shunt resistance is

Options

  1. A20
  2. B2
  3. C0.2
  4. D2 k

Correct answer

B. 2

Step-by-step solution

Let i_a is the current flowing through ammeter and i is the total current. So, a current i-i_a will flow through shunt resistance. Potential difference across ammeter and shunt resistance is same. ie, i_a R= (i-i_a ) S or S= i_a R i-i_a (i) Given, i_a=100 ~A , i=750 ~A , R=13 Hence, S= 100 13 750-100 =2

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