Consider a conducting loop of radius a and total loop resistance R placed in a region with a magnetic field B thereby enclosing a flux $${\phi _0}$$ . The loop is connected to an electronic circuit as shown, the capacitor being initially uncharged.<br><img src="/images/question-image/engineering-physics/electromagnetic-theory/1689418510-consider-a-conducting-loop-of-radius.png" title="Electromagnetic Theory mcq question image" alt="Electromagnetic Theory mcq question image"><br>If the loop is pulled out of the region of the magnetic field at a constant speed u, the final output voltage V<sub>out</sub> is independent of

The figure shows a constant current source charging a capacitor that is initially uncharged.
Electromagnetic Theory mcq question image

If the switch is closed at t = 0, which of the following plots depicts correctly the output voltage of the circuit as a function of time?

A

B

C

D

Aspherical conductor of radius a is placed in a uniform electric field $$\overrightarrow {\bf{E}} = {E_0}\,{\bf{\hat k}}.$$ The potential at a point P(r, θ) for r > a, is given by $$\phi \left( {r,\,\theta } \right) = {\text{constant}} - {E_0}r\cos \theta + \frac{{{E_0}{a^3}}}{{{r^2}}}\cos \theta $$
where, r is the distance of P from the centre O of the sphere and θ is the angle, OP makes with the Z-axis.
Electromagnetic Theory mcq question image

The charge density on the sphere at θ = 30° is

A

$$3\sqrt 3 {\varepsilon _0}\,{E_0}/2$$

B

$$3{\varepsilon _0}\,{E_0}/2$$

C

$$\sqrt 3 {\varepsilon _0}\,{E_0}/2$$

D

$${\varepsilon _0}\,{E_0}/2$$

An infinitely long wire carrying a current $$I\left( t \right) = {I_0}\cos \left( {\omega t} \right)$$ is placed at a distance a from a square loop of side a as shown in the figure. If the resistance of the loop is R, then the amplitude of the induced current in the loop is
Electromagnetic Theory mcq question image

A

$$\frac{{{\mu _0}}}{{2\pi }} \cdot \frac{{a{I_0}\omega }}{R}\ln 2$$

B

$$\frac{{{\mu _0}}}{\pi } \cdot \frac{{a{I_0}\omega }}{R}\ln 2$$

C

$$\frac{{2{\mu _0}}}{\pi } \cdot \frac{{a{I_0}\omega }}{R}\ln 2$$

D

$$\frac{{{\mu _0}}}{{2\pi }} \cdot \frac{{a{I_0}\omega }}{R}$$

A parallel plate capacitor is being discharged. What is the direction of the energy flow in terms of the Poynting vector in the space between the plates?
Electromagnetic Theory mcq question image

A

Along the wire in the positive Z-axis

B

Radially inward $$\left( { - {\bf{\hat r}}} \right)$$

C

Radially outward $$\left( {{\bf{\hat r}}} \right)$$

D

Circumferential $$\left( \phi \right)$$

S = Training data = => No (negative example). How will S be represented after encountering this training data?

A

B

C

D

The value of $$\left( {\frac{{\sin \theta + \sin \phi }}{{\cos \theta + \cos \phi }} + \frac{{\cos \theta - \cos \phi }}{{\sin\theta - \sin\phi }}} \right)$$ is?

A

1

B

2

C

$$\frac{1}{2}$$

D

0

A circular arc QTS is kept in an external magnetic field $${\overrightarrow {\bf{B}} _0}$$ as shown in figure. The arc carries a current $$l$$. The magnetic field is directed normal and into the page. The force acting on the arc is
Electromagnetic Theory mcq question image

A

$$2l{B_0}R{\bf{\hat k}}$$

B

$$l{B_0}R{\bf{\hat k}}$$

C

$$ - 2l{B_0}R{\bf{\hat k}}$$

D

$$ - l{B_0}R{\bf{\hat k}}$$

Two charges q and 2q are placed along the X-axis in front of a grounded, infinite conducting plane, as shown in the figure. They are located respectively at a distance of 0.5 m and 1.5 m from the plane. The force acting on the charge q is
Electromagnetic Theory mcq question image

A

$$\frac{1}{{4\pi {\varepsilon _0}}}\frac{{7{q^2}}}{2}$$

B

$$\frac{1}{{4\pi {\varepsilon _0}}}2{q^2}$$

C

$$\frac{1}{{4\pi {\varepsilon _0}}}{q^2}$$

D

$$\frac{1}{{4\pi {\varepsilon _0}}}\frac{{{q^2}}}{2}$$

A sinusoidal input voltage V_in of frequency ω is fed to the circuit shown in the figure, where C₁ ≫ C₂. If V_m is the peak value of the input voltage, then output voltage (V_out) is
Electronics mcq question image

A

$$2{V_m}$$

B

$$2{V_o}\sin \omega t$$

C

$$\sqrt 2 {V_m}$$

D

$$\frac{{{V_m}}}{2}\sin \omega t$$

In the circuit shown in the figure, the Thevenin voltage V_Th and Thevenin resistance R_Th as seen by the load resistance R_L (= 1 k$$\Omega $$) are respectively
Electronics mcq question image

A

15 V, 1 k$$\Omega $$

B

30 V, 4 k$$\Omega $$

C

20 V, 2 k$$\Omega $$

D

10 V, 5 k$$\Omega $$

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