Alternating Current Test

Result

Alternating Current Test - 84

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Weekly Quiz Competition

Question 1
1 / -0

In the only capacitive circuit,A.C. voltage is.,

A
leading ahead by $$\delta $$

B
leading behind by $$\delta$$

C
lagging behind by $$\frac{\pi }{2}$$

D
leading ahead by $$\frac{\pi }{2}$$
Question 2
1 / -0

A condenser of capacity $$C$$ is charged to a potential difference of $$V_1$$. The plates of the condenser are then connected to an ideal inductor of inductance $$L$$. The current through the inductors when then potential difference across the condenser reduces to $$V_2$$

A
$$ \frac{\mathrm{C}\left(\mathrm{V}_{1}^{2}-\mathrm{V}_{2}^{2}\right)}{\mathrm{L}} $$

B
$$ \frac{C\left(V_{1}^{2}+V_{2}^{2}\right)}{L} $$

C
$$ \left(\frac{C\left(V_{1}^{2}-V_{2}^{2}\right)}{L}\right)^{1 / 2} $$

D
$$ \left(\frac{a v_{1}-v_{2} p^{2}}{L}\right)^{1 / 2} $$
Question 3
1 / -0

The resistance of a coil for dc is $$10 $$ ohm. When ac is sent through it, its resistance would be

A
$$A= 10 ohm$$

B
$$A< 10 ohm$$

C
$$A > 10 ohm$$

D
$$A= 5 ohm$$

Solution
Question 4
1 / -0

On decreasing the angular frequency of A.C. source used in $$L-C-R$$ series circuit, the capacitive reactance____________ and inductive reactance _________ respectively.

A
Increases, Decreases

B
Increases, Increases

C
Decreases, Increases

D
Decreases, Decreases

Solution
Question 5
1 / -0

Two long straight wires equal cross-sectional radii a are located parallel to each other in air .The distance between their axes equal b. Find the mutual capacitance of the wire per unit length under the condition b>>a

A
$$C=\dfrac { { 2\pi \varepsilon }_{ 0 } }{ ln\left( b/a \right) } $$

B
$$C=\dfrac { { \pi \varepsilon }_{ 0 } }{ ln\left( a/b \right) } $$

C
$$C=\pi /{ \varepsilon }_{ 0 }In\left( b/a \right) $$

D
None of these

Solution
Question 6
1 / -0

Current in the circuit is wattless, if

A
Inductance in the circuit is zero

B
Resistance in the circuit is zero

C
Current is alternative

D
Inductance and Resistance both is Zero

Solution
Question 7
1 / -0

The equation P of an ac is represented by I=0.6 sin 100 $$\pi t$$. The frequency of ac is

A
$$50 \pi$$

B
$$50$$

C
$$100 \pi$$

D
$$100$$

Solution
Question 8
1 / -0

In a series LCR circuit $$R=200\Omega $$ and the voltage and the frequency of the main supply is 220 V and 50 Hz respectively. On talking out the capacities from the circuit the current lags behind the voltage by $${ 30 }^{ \circ }$$ On taking out the induct or from the circuit the current leads the voltage by $${ 30 }^{ \circ }$$ The power dissipated in the LCR circuit is

A
305 W

B
210 W

C
0 W

D
242 W

Solution
Question 9
1 / -0

Two circular coils can be arranged in any of the three situations shown in the figure. Their mutual inductance will be

A
maximum in situation (a)

B
maximum in situation (b)

C
maximum in situation (c)

D
the same in all situation

Solution
Question 10
1 / -0

The average power of A.C. lost per cycle is given by?

A
$$\dfrac{1}{2}E_0i_0\sin\phi$$

B
$$\dfrac{1}{2}E_0i_0\cos\phi$$

C
$$\dfrac{1}{2}E_0i_0\tan\phi$$

D
$$\dfrac{1}{2}E_0i_0\phi$$

Solution