Official PYQ · 2016Set 2 · Q23Maxwell's EquationsMCQ1 mark

GATE EC 2016 Set 2 Q23 — Maxwell's Equations

A uniform and constant magnetic field $\textbf{B}=\hat{z}B$ exists in the $\hat{z}$ direction in vacuum. A particle of mass $m$ with a small charge $q$ is introduced into this region with an initial velocity $\textbf{v}=\hat{x}v_{x}+\hat{z}v_{z}$ . Given that $B$ , $m$ , $q$ , $v_{x}$ and $v_{z}$ are all non-zero, which one of the following describes the eventual trajectory of the particle?

View answer

Answer: A

Worked explanation not available yet.

Free practice · Your answers on this page are not saved.

Published 10 Oct 2026

Report a correction

GATE EC · 2025Maxwell's Equations
A square metal sheet of $4 \mathrm{~m} \times 4 \mathrm{~m}$ is placed on the $x-y$ plane as shown in the figure below. If the surface charge density (in $\mu \mathrm{C} / \mathrm{m}^{2}$ ) on the sheet is $\rho_{s}(x, y)=4\mid y \mid$ , then the total charge (in $\mu \mathrm{C}$ , rounded off to the nearest integer) on the sheet is $\_\_\_\_\_\_$
MCQ · 2 marks
GATE EC · 2025Maxwell's Equations
An electric field of $0.01 \mathrm{~V} / \mathrm{m}$ is applied along the length of a copper wire of circular cross-section with diameter $1 \: \mathrm{mm}$ . Copper has a conductivity of $5.8 \times 10^{7} \mathrm{~S} / \mathrm{m}$ . The current (in Amperes, rounded off to two decimal places) flowing through the wire is $\_\_\_\_\_\_$ .
MCQ · 2 marks
GATE EC · 2019Maxwell's Equations
In the table shown, List I and List II, respectively, contain terms appearing on the left-hand side and the right-hand side of Maxwell’s equations (in their standard form). Match the left-hand side with the corresponding right-hand side. …
MCQ · 1 mark
GATE EC · 2019Maxwell's Equations
In the circuit shown, $V_{s}$ is square wave of period $T$ with maximum and minimum values of $8\: V$ and $-10\: V$ , respectively. Assume that the diode is ideal and $R_{1}=R_{2}=50\: \Omega.$ The average value of $V_{L}$ is _______ volts (rounded off to $1$ decimal place).
NAT · 1 mark
GATE EC · 2017Maxwell's Equations
Two conducting spheres $S1$ and $S2$ of radii $a$ and $b$ ( $b>a$ ) respectively, are placed far apart and connected by a long, thin conducting wire, as shown in the figure. For some charge placed on this structure, the potential and surface electric field on $S1$ are $V_a$ and $E_a$ and that on S2 are $V_b$ and $E_b$ , respectively. …
MCQ · 1 mark
GATE EC · 2017Maxwell's Equations
An integral $I$ over a counterclockwise circle $\textbf{C}$ is given by $I=\oint _c \frac{z^2-1}{z^2+1} e^z dz.$ If $\textbf{C}$ is defined as $\mid z \mid=3$ , then the value of $I$ is
MCQ · 2 marks

Browse this topic

More Maxwell's Equations questions

GATE EC 2016 Set 2 Q23 — Maxwell's Equations

Related questions