In an AC sub-circuit, the resistance \(R=0.2~\Omega\). At a certain instant \((V_{A}-V_{B})=0.5~\text{V}\), \(I=0.5~\text{A}\), and current is increasing at the rate of \(\left({\Delta I/\Delta t}\right)=8~\text{A/s}\). The inductance of the coil is:
              
1. \(0.01~\text{H}\) 2. \(0.02~\text{H}\)
3. \(0.05~\text{H}\) 4. \(0.5~\text{H}\)
Subtopic:  LR circuit |
 84%
From NCERT
Please attempt this question first.
Hints
Please attempt this question first.

In a part of the circuit, as shown, it is given that the current is decreasing at a rate of \(1~\text{A/s}\). Then \(V_A-V_B\) is equal to:
      
1. \(18~\text{V}\) 2. \(-18~\text{V}\)
3. \(9~\text{V}\) 4. \(-9~\text{V}\)
Subtopic:  LR circuit |
 80%
From NCERT
Please attempt this question first.
Hints
Please attempt this question first.


An ideal inductor-resistor-battery circuit is switched on at \(t=0~\text{s}\). At time \(t\), the current is \(i=i_0\left(1-e^{\left(-\frac{t}{\tau}\right)}\right)\text{A}\), where \(i_0\) is the steady-state value. The time at which the current becomes \(0.5i_0\) is: [Given \(\text{ln}(2)= 0.693\)]
1. \(6.93 \times 10^3 ~\text{s}\)
2. \(6.93~\text{ms}\)
3. \(69.3~\text{s}\)
4. \(6.93~\text{s}\)
Subtopic:  LR circuit |
 60%
From NCERT
NEET - 2024
Please attempt this question first.
Hints
Please attempt this question first.

advertisementadvertisement

An inductor \((L)\) and a resistor \((R)\) are connected in series across a battery of emf \(\varepsilon\), and the circuit is switched on. The current rises steadily. The rate of increase of the current (i.e. \(\left(\dfrac {di} {dt}\right) \)), when the voltage drop across the resistor is \(\dfrac \varepsilon 2\), is given by: \(\dfrac {di} {dt}\) = 
1. \(\dfrac \varepsilon L\) 2. \(\dfrac \varepsilon {2L}\)
3. \(\dfrac {2\varepsilon} L\) 4. \({\dfrac \varepsilon L}e^{-1}\)
Subtopic:  LR circuit |
 83%
From NCERT
Please attempt this question first.
Hints
Please attempt this question first.

The current in the branch of a circuit shown below increases at a rate of \(3\) A/s. At the instant when the current in the wire is \(2\) A, the potential drop from \(a\) to \(b\) is:

       

1. \(26\) V 2. \(14\) V
3. \(16\) V 4. \(6\) V
Subtopic:  LR circuit |
 67%
From NCERT
To view explanation, please take trial in the course.
NEET 2025 - Target Batch
Hints
Links
To view explanation, please take trial in the course.
NEET 2025 - Target Batch