(a) State and prove Ampere's circuital law using Ampere's circuital l…

Previous year question for Applied Engineering Physics.

Question

(a) State and prove Ampere's circuital law using Ampere's circuital law find magnetic field intensity at a point due to long solenoid.

(b) Electric field in a certain region of space is $(3\hat{i} + 5\hat{j} - 8\hat{k}) \times 10^4 \text{ N/C}$. Find the electric flux through an area $(4\hat{i} + 3\hat{j}) \times 10^{-3} \text{ m}^2$.

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