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The wire loop PQRSP formed by joining tw...

The wire loop `PQRSP` formed by joining two semicircular wires of radii ` R_(1)` and `R_(2)` carries a current `I` as shown . The magnitude of the magnetic induction at the center `C` is ………..

Text Solution

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The correct Answer is:
A, B, D
The magnetic field at `C` due to current in `PQ` and `RS` is zero . Magnetic field due to current in semi- circular arc `QAR`
` = 1/2 [(mu_(0))/(2) (1)/(R_(1))]`
directed towards reader perpendicular to the plane of paper . Magnetic field due to current in semi - circular arc `SBP = 1/2 [(mu_(0))/(2) (1)/(R_(2))]`
directed away from reader perpendicular to plane of paper .
Net magnetic field = 1/2 [( mu)_(0)/(2) (I)/(R_(1))] -1/2[(mu_(0))/(2) (I)(R_(2))]`
( directed towards the reader perpendicular to plane of paper ).
` = (mu_(0)I)/(4) [(1)/(R_(1)) - (1)/(R_(2))]`.
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