Q1
MCQ[1 Mark]
A uniform ring charge of radius R carries charge Q. What is the magnitude of the force on a point charge q at its center?
Type:
Electrostatics & Magnetostatics
15 QuestionsQ2
MCQ[1 Mark]
A positive point charge with velocity v = 5 x_hat enters E = 4 y_hat and B = -6 z_hat. What is correct about the force?
Q3
MCQ[2 Marks]
For planar loop A enclosing areas a_1 and a_2 subjected to given magnetic fields B_1 and B_2, what is the induced RMS voltage?
Q4
NAT[2 Marks]
Calculate the work done in moving a point charge through the electric field of a charged sphere and potential difference.
Q5
MCQ[1 Mark]
Which figure correctly represents the radial electric field E_R due to a spherical cloud of negative volume charge density for 0 <= R <= a?
Q6
MCQ[2 Marks]
An air cylindrical capacitor has capacitance C_0. If a dielectric of relative permittivity epsilon_r fills 50% of the annular volume, find epsilon_r to make new capacitance 5 C_0.
Q7
MSQ[2 Marks]
For which value(s) of n is the divergence of radial vector field F(R) = a_R (1 / R^n) independent of R in spherical coordinates?
Q8
MSQ[2 Marks]
Two coupled circuits with L_1, L_2, M (k=1) carry I_1, I_2. At which value(s) of I_1/I_2 is stored magnetic energy minimum?
Q9
NAT[2 Marks]
Three point charges Q, Q, and alpha Q are at (-1,0,0), (1,0,0), and (0,-1,0). Find alpha such that the electric field at (0, 0.5, 0) is zero.
Q10
NAT[2 Marks]
For the magnetic field vector H to be curl-free (source-free magnetic dipole field) in free space, find the value of P.
Q11
NAT[2 Marks]
Find the magnitude of magnetic field intensity H at point (1,1,1) due to infinite sheet current K = 5 a_x A/m on the x-y plane.
Q12
MCQ[1 Mark]
For a long cylinder with current density J = J_a r^3 a_z for r < b, find magnetic field intensity H inside the conductor (r < b).
Q13
MCQ[2 Marks]
Given H = x^2 i + x^2 y^2 j + x^2 y^2 z^2 k A/m, find the magnitude of current density J at (1, 2, 1) in A/m^2.
Q14
MCQ[2 Marks]
Evaluate the volume integral of div(E) dV over the unit cube for E = 2x^2 i + 5y j + 3z k.
Q15
MCQ[2 Marks]
Two concentric spherical shells at radii r = c and r = d have potentials V_1 and V_2. What is the potential V(r) in the region c < r < d?
