A wire carrying current I has the shape as shown in adjoining figure. Linear parts of the wire are very long and parallel to X -axis while semicircular portion of radius R is lying in Y-Z plane. Magnetic field at point O is

Question

Infinity Learn · Accepted Answer

Given situation is shown in the figure. Parallel wires $$1$$ and $$3$$ are $$semi-infinite$$, so magnetic field at O due to themB→$$1=B$$→$$3=-$$μ$$0I4$$$$π$$$$Rk^Magnetic$$ field at O due to $$semi-circular$$ arc in Y Z $$-plane$$ is given byB→$$2=-$$μ$$0I4Ri^$$ Net magnetic field at point O is given by B→$$=B$$→$$1+B$$→$$2+B$$→$$3=-$$μ$$0I4$$$$π$$$$Rk^-$$μ$$0I4Ri^-$$μ$$0I4$$$$π$$$$Rk^=-$$μ$$0I4$$$$π$$$$R($$π$$i^+2k^)$$

A wire carrying current I has the shape as shown in adjoining figure. Linear parts of the wire are very long and parallel to X -axis while semicircular portion of radius R is lying in Y-Z plane. Magnetic field at point O is

Remember concepts with our Masterclasses.

Ready to Test Your Skills?

free study material