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The electric flux through any closed surface is
$\displaystyle \oint \vec E\cdot d\vec A = Q_{\text{enc}}$ $\displaystyle \oint \vec E\cdot d\vec A = Q_{\text{enc}}/\epsilon_0$ $\displaystyle \oint \vec E\cdot d\vec A = \epsilon_0 Q_{\text{enc}}$ $\displaystyle \oint \vec E\cdot d\vec A = 0$ always An isolated positive point charge $q$ is at the centre of a spherical Gaussian surface of radius $r$ in vacuum. What is the electric field magnitude on that surface?
$E=\dfrac{q}{4\pi\epsilon_0 r}$ $E=\dfrac{q}{4\pi\epsilon_0 r^2}$ $E=\dfrac{q}{\epsilon_0 r^2}$ $E=\dfrac{q}{4\pi r^2}$ In electrostatic equilibrium for a conductor, which statement is correct?
Electric field inside conductor material is non-zero and uniform Excess charge resides in the bulk Electric field inside conductor material is zero Potential varies linearly inside the conductor Capacitance is defined by
$C=QV$ $C=V/Q$ $C=Q/V$ $C=W/Q$ Initially uncharged capacitors of different capacitances are connected in series and charged from a nonzero-voltage supply. Which quantity has the same magnitude on each capacitor?
Voltage Charge magnitude Energy Capacitance A wire carries current $I$ in uniform magnetic field $B$, length $L$ at right angle to $B$. Magnitude of magnetic force is
$F=BIL$ $F=BI/L$ $F=BL/I$ $F=IL/B$ Ampere's law in magnetostatics is
$\displaystyle \oint \vec B\cdot d\vec l = \mu_0 I_{\text{enc}}$ $\displaystyle \oint \vec E\cdot d\vec l = -d\Phi_B/dt$ $\displaystyle \oint \vec B\cdot d\vec A = 0$ $\displaystyle \oint \vec E\cdot d\vec A = Q_{\text{enc}}/\epsilon_0$ For a single closed loop, with magnetic flux $\Phi_B$ through the loop, which expression is Faraday-Lenz law for the induced emf?
$\mathcal{E}=+d\Phi_B/dt$ $\mathcal{E}=-d\Phi_B/dt$ $\mathcal{E}=BAv$ always $\mathcal{E}=IR$ Energy stored in an inductor carrying current $I$ is
$U=LI$ $U=\tfrac12 LI^2$ $U=\tfrac12 CV^2$ $U=I^2R$ In a series RLC circuit driven by an AC source, the impedance magnitude is
$Z=R+X_L+X_C$ $Z=\sqrt{R^2+(X_L-X_C)^2}$ $Z=R^2+(X_L-X_C)^2$ $Z=\dfrac{1}{R+X_L-X_C}$ For a single plane electromagnetic wave in vacuum, which relation is correct?
$E=B$ $E=cB$ $E=B/c$ $E=c^2B$ In vacuum, the direction of energy flow in an electromagnetic field is given by
Lorentz force vector Electric displacement vector Poynting vector $\vec S=\dfrac{1}{\mu_0}\vec E\times\vec B$ Magnetic vector potential