The amount of charge \(Q\) passed in time \(t\) through a cross-section of a wire is \(Q=(7t^{2}+4t+1)~\text{C}.\) The value of current at time \(t= 6\) seconds is:
1. \( 38~ \text{A} \)
2. \( 27~ \text{A} \)
3. \( 104~ \text{A} \)
4. \( 88~ \text{A}\)

Subtopic:  Current & Current Density |
 90%
Level 1: 80%+
Please attempt this question first.
Hints
Please attempt this question first.

If \(n:\) number density of charge carriers.
\(A:\) cross-sectional area of the conductor
\(q:\) charge on each charge carrier
\(I:\) current through the conductor
Then the expression of drift velocity is:
1. \(\frac{nAq}{I}\)
2. \(\frac{I}{nAq}\)
3. \({nAqI}\)
4. \(\frac{IA}{nq}\)
Subtopic:  Current & Current Density |
 85%
Level 1: 80%+
Please attempt this question first.
Hints
Please attempt this question first.

The quantity represented by the drift velocity per unit electric field is:
1. potential 2. resistivity
3. current 4. mobility
Subtopic:  Current & Current Density |
 86%
Level 1: 80%+
Please attempt this question first.
Hints
Please attempt this question first.

advertisementadvertisement

Given below are two statements:
Assertion (A): As the drift velocity decreases, the current flowing through the conductor decreases.
Reason (R): The current flowing through a conductor is directly proportional to the drift velocity.
 
1. Both (A) and (R) are True and (R) is the correct explanation of (A).
2. Both (A) and (R) are True but (R) is not the correct explanation of (A).
3. (A) is True but (R) is False.
4. Both (A) and (R) are False.
Subtopic:  Current & Current Density |
 89%
Level 1: 80%+
Please attempt this question first.
Hints
Please attempt this question first.

What will be the number of electrons passing through a heater wire in one minute, if it carries a current of \(4~\text{A}?\)
1. \(5 \times 10^{20}\)
2. \(4\times 10^{21}\)
3. \(15 \times 10^{20}\)
4. \(3 \times 10^{20}\)
Subtopic:  Current & Current Density |
 79%
Level 2: 60%+
Please attempt this question first.
Hints
Please attempt this question first.

The SI unit of current density is:
1. \(\text{A/m}^3\) 2. \(\text{A/m}^2\)
3. \(\text{A/m}\) 4. \(\text{A-m}\)
Subtopic:  Current & Current Density |
 82%
Level 1: 80%+
Hints

advertisementadvertisement

When a current \(i\) flows through a conductor, the drift velocity of free electrons is \(v.\) If the current is increased to \(2i,\) and the cross-sectional area of the conductor is doubled, what will be the new drift velocity of the free electrons?
1. \(\dfrac{v}{4}\) 2. \(\dfrac{v}{2}\)
3. \(v\) 4. \(4v\)
Subtopic:  Current & Current Density |
 82%
Level 1: 80%+
Please attempt this question first.
Hints
Please attempt this question first.