Recent questions tagged electromagnetism

Two magnetically uncoupled inductive coils have $Q$ factors $q_1$ and $q_2$ at the chosen operating frequency. Their respective resistances are $R_1$ and $R_2$. When conn...

A dielectric slab with $500$ mm $\times 500$ mm cross-section is $0.4\:m$ long. The slab is subjected to a uniform electric field of $\textbf{E}=6 \textbf{a}_x+8 \textbf{...

The flux density at a point in space is given by $\textbf{B}=4x \textbf{a}_x+2ky \textbf{a}_y+8 \textbf{a}_z \:\: Wb/m^2$. The value of constant $k$ must be equal to$-2$...

A circular turn of radius $1$ m revolves at $60$ rpm about its diameter aligned with the $x$-axis as shown in the figure. The value of $\mu_{0}$ is $4\pi \times 10^{-7}$ ...

The line integral of the vector field $F=5xz \hat{i}+(3x^{2}+2y)\hat{j}+x^{2}z\hat{k}$ along a path from $(0,0,0)$ to $(1,1,1)$ parametrized by $(t, t^{2}, t)$ is _______...

A parallel plate capacitor filled with two dielectrics is shown in the figure below. If the electric field in the region $A$ is $4 kV/cm$, the electric field in the regio...

Two electric charges $q$ and $−2q$ are placed at $(0,0)$ and $(6,0)$ on the $x-y$ plane. The equation of the zero equipotential curve in the $x-y$ plane is$x=-2$$y=2$$x^{...

A soft-iron toroid is concentric with a long straight conductor carrying a direct current $I$. If the relative permeability $\mu_{r}$ of soft-iron is $100$, the ratio of ...