Current Electricity Test

Result

Current Electricity Test - 72

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Weekly Quiz Competition

Question 1
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Find value of current in circuit diagram

A
13 A

B
11 A

C
6 A

D
14 A
Question 2
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A source of e.m.f. E= 15 v and having negligible internal resistance is connected to a variable resistance so that the current in the circuit increase with time as I = 1.2t + 3. Then total charge will flow in first seconds will be:

A
10C

B
20C

C
30C

D
40C

Solution

We knwo that $$i=\dfrac {dQ}{dt}$$
According to question:
$$\Rightarrow dQ=idt\Rightarrow Q=\displaystyle \int_{r_1}^{r_2}idt =\displaystyle \int_{0}^{5}(1.2t+3)dt$$

$$=\left[\dfrac {1.2t^2}{2}+3t \right]_0^5 =30\ C$$
Question 3
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Kirchhoff's Loop rule is a direct consequence of law of conservation of

A
Charge

B
Momentum

C
Angular momentum

D
Energy

Solution
Question 4
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A meter bridge shown in fig.is balanced.what is the value of resistance X.

A
$$ 20 \Omega $$

B
$$ 10 \Omega $$

C
$$ 5 \Omega $$

D
$$ 2.5 \Omega $$

Solution

Since the meter bridge is balanced,

$$\dfrac{10}{0.5} = \dfrac{X}{0.5}$$

$$X = 10 \Omega$$
Question 5
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A circuit connected to an ac source of emf $$e = e_0 \sin (100 t)$$ with t in seconds, gives a phase difference of $$\dfrac{\pi}{4}$$ between the emf e and current i. Which of the following circuits will exhibit this ?

A
RC circuit with $$R = 1 k \Omega$$ and $$C = 1 \mu F$$

B
RL circuit with $$R = 1 k \Omega $$ and $$L = 1 m H$$

C
RL circuit with $$R = 1 k \Omega $$ and $$L = 10 mH$$

D
RC circuit with $$R = 1 k \Omega $$ and $$C = 10 m F$$

Solution

Given phase difference = $$\dfrac{\pi}{4}$$
and $$\omega = 100 rad/s$$
$$\Rightarrow $$ Reactance (X) = Resistance (R)
now by checking options
option (1)
$$R = 1000 \Omega$$ and $$X_C = \dfrac{1}{10^{-6} \times 100} = 10^4 \Omega$$
Option (2)
$$R = 10^3 \Omega$$ and $$X_L = 10^{-3} \times 100 = 10^{-1} \Omega$$
option (3)
$$R = 10^3 \Omega$$ and $$X_L = 10 \times 10^{-3} \times 100 = 1 \Omega$$
Option (4)
$$R = 10^3 \Omega$$ and $$X_C = \dfrac{1}{10 \times 10^{-6} \times 100} = 10^3 \Omega$$
Clear option (4) matches the given condition
Question 6
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Conductivity of water (in $$\Omega ^{-1}\,cm^{-1}$$) is

A
0.4

B
0.04

C
0.0004

D
0.00004

Solution
Question 7
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In measuring a resistant using metre bridge, the resistance in the gaps are interchanged to minimize error due to

A
the yielding of the supports

B
nonuniformity of the bridge wire

C
the contact or end resistance

D
Joule heating of the bridge wire.
Question 8
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If the length of a potentiometer wire is increased by keeping constant potential difference across the wire, then _______.

A
null point is obtained at larger distance

B
there is no change in the null point

C
potential gradient is increased

D
null point is obtained at shorter distance
Question 9
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Three $$2\Omega$$ resistors are connected to form a triangle. The resistance between any two corners is?

A
$$6\Omega$$

B
$$2\Omega$$

C
$$\dfrac{3}{4}\Omega$$

D
$$\dfrac{4}{3}\Omega$$

Solution
Question 10
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Directions For Questions

Each plate of a parallel-plate air capacitor has area $$S=5\times 10^{-3}m^2$$ and distance between the plates $$d=8.80$$mm. Plate A has positive charge $$q_1=+10^{-10}C$$ and plate B has charge $$q_2=+2\times 10^{-10}C$$. A battery of e.m.f. E$$=10$$V has its positive terminal connected to plate A and negative terminal to plate B.(Given $$\varepsilon_0=8.8\times 10^{-12}Nm^2C^{-2}$$).

...view full instructions

Charge supplied by the battery is?

A
$$120$$ pC

B
$$100$$ pC

C
$$60$$ pC

D
$$50$$ pC

Solution