
An A.C circuit having supply voltage consists of a resistor of resistance and an inductor of reactance as shown in the figure. The voltage across the inductor at is
A) 2 volts
B) 10 volts
C) zero
D) volts

Answer
483k+ views
Hint: In this solution, we will determine the net impedance of the circuit using the relation for the series LCR circuit. Then we will use the relation of current and impedance to find the voltage across the inductor.
Formula used: In this solution, we will use the following formula:
- Magnitude of Impedance of a series LCR circuit: where is the resistance, is the inductive impedance, and is the capacitive inductance.
Complete step by step answer
In the circuit given to us we can see that a capacitor and a resistor are connected in series with an A.C. power supply such that the resistance is and the inductor of reactance . Then the net impedance of the circuit will be
Which gives us
Now the voltage of the AC supply is . So, at time , the external voltage will be
Now the current across the inductor can be calculated as
Which gives us
Now since , the potential across the inductor will also be zero.
Hence the correct choice is option (C).
Note
The reason the potential drop across the inductor will be zero since that, at this point, the inductor will have been completely discharged assuming it was initially discharged. So, if the external potential increases, the inductor will oppose the change in current and induce its own potential, thereby allowing no current to flow in the circuit. The trick in this question hence is to observe the time period at which we want to calculate the potential difference is just at the beginning of the time period of oscillation of alternating frequency.
Formula used: In this solution, we will use the following formula:
- Magnitude of Impedance of a series LCR circuit:
Complete step by step answer
In the circuit given to us we can see that a capacitor and a resistor are connected in series with an A.C. power supply such that the resistance is
Which gives us
Now the voltage of the AC supply is
Now the current across the inductor can be calculated as
Which gives us
Now since
Hence the correct choice is option (C).
Note
The reason the potential drop across the inductor will be zero since that, at this point, the inductor will have been completely discharged assuming it was initially discharged. So, if the external potential increases, the inductor will oppose the change in current and induce its own potential, thereby allowing no current to flow in the circuit. The trick in this question hence is to observe the time period at which we want to calculate the potential difference is just at the beginning of the time period of oscillation of alternating frequency.
Latest Vedantu courses for you
Grade 10 | MAHARASHTRABOARD | SCHOOL | English
Vedantu 10 Maharashtra Pro Lite (2025-26)
School Full course for MAHARASHTRABOARD students
₹33,300 per year
Recently Updated Pages
Master Class 12 Business Studies: Engaging Questions & Answers for Success

Master Class 12 Economics: Engaging Questions & Answers for Success

Master Class 12 Maths: Engaging Questions & Answers for Success

Master Class 12 Biology: Engaging Questions & Answers for Success

Master Class 12 Physics: Engaging Questions & Answers for Success

Master Class 12 English: Engaging Questions & Answers for Success

Trending doubts
A deep narrow valley with steep sides formed as a result class 12 biology CBSE

a Tabulate the differences in the characteristics of class 12 chemistry CBSE

Why is the cell called the structural and functional class 12 biology CBSE

Which are the Top 10 Largest Countries of the World?

Differentiate between homogeneous and heterogeneous class 12 chemistry CBSE

Derive an expression for electric potential at point class 12 physics CBSE
