KCET 2026 Physics Solved Paper

Concept:Maxwell's equations relate electric and magnetic fields to charges, currents, and changing fields.Explanation:Gauss' law for electrostatics states that the electric flux through a closed surface equals the enclosed charge divided by $\varepsilon_{0}$.So,$$\oint \vec{E} \cdot d \vec{A} = \frac{Q}{\varepsilon_{0}}$$Therefore, (a) matches with (i).Gauss' law for magnetism states that the net magnetic flux through any closed surface is zero because isolated magnetic poles do not exist.So,$$\oint \vec{B} \cdot d \vec{A} = 0$$Therefore, (b) matches with (iii).Faraday's law states that a changing magnetic flux induces an electric field.Its integral form is$$\oint \vec{E} \cdot d \vec{l} = -\frac{d\phi_B}{dt}$$Therefore, (c) matches with (iv).Ampere-Maxwell's law states that a magnetic field is produced by both conduction current and displacement current.So,$$\oint \vec{B} \cdot d \vec{l} = \mu_0 \left( i_c + \varepsilon_0 \frac{d\phi_E}{dt} \right)$$Therefore, (d) matches with (ii).Thus, the correct matching is a-i, b-iii, c-iv, d-ii.Answer:Option A.