
Figure shows a circuit that contains three identical resistors with resistance each, two identical inductors with inductance each, and an ideal battery with emf . The current through the battery just after the switch closed is:

Answer
154.2k+ views
Hint As we know in the DC source capacitor acts as an open circuit and the inductor will act as a short circuit. So we have the equivalent circuit as a source and only there is a resistance whose value is . So from here, we can easily find them by using the current formula.
Formula used
Current will be equal to
Here,
, will be the current
, will be the voltage
, will be the resistance
Complete Step By Step Solution
So in this question, we have an identical resistor and also there are two inductors. There is an ideal battery connected through it. We have to find the current through the battery when the switch is being closed.
When the switch is ON, that is at ,
The capacitor will behave as a short circuit and also the inductor will behave like an open circuit.
Due to this, the inductor will be zero and only will carry the resistance.
Therefore by using the current formula
Current will be equal to
From the question, it can be written as
Now substitute the values, we get
On furthermore calculation, we get
Therefore, the current is required. Hence the option will be correct.
Note An inductor is an inactive electronic part that stores energy as an attractive field. An inductor comprises a wire circle or loop. It is as a rule as a loop, twisted over an attractive or even air at its center. Indeed, even a straight wire creates an attractive field and can be considered as an inductor. The inductance is legitimately corresponding to the number of turns in the curl.
Formula used
Current will be equal to
Here,
Complete Step By Step Solution
So in this question, we have an identical resistor and also there are two inductors. There is an ideal battery connected through it. We have to find the current through the battery when the switch is being closed.
When the switch is ON, that is at
The capacitor will behave as a short circuit and also the inductor will behave like an open circuit.
Due to this, the inductor will be zero and only
Therefore by using the current formula
Current will be equal to
From the question, it can be written as
Now substitute the values, we get
On furthermore calculation, we get
Therefore, the current
Note An inductor is an inactive electronic part that stores energy as an attractive field. An inductor comprises a wire circle or loop. It is as a rule as a loop, twisted over an attractive or even air at its center. Indeed, even a straight wire creates an attractive field and can be considered as an inductor. The inductance is legitimately corresponding to the number of turns in the curl.
Latest Vedantu courses for you
Grade 7 | CBSE | SCHOOL | English
Vedantu 7 CBSE Pro Course - (2025-26)
School Full course for CBSE students
₹45,300 per year
EMI starts from ₹3,775 per month
Recently Updated Pages
JEE Main 2022 (June 29th Shift 2) Maths Question Paper with Answer Key

JEE Main 2023 (January 25th Shift 1) Maths Question Paper with Answer Key

JEE Main 2022 (July 29th Shift 1) Maths Question Paper with Answer Key

JEE Main 2022 (July 26th Shift 2) Chemistry Question Paper with Answer Key

JEE Main 2022 (June 26th Shift 2) Maths Question Paper with Answer Key

JEE Main 2022 (June 29th Shift 1) Physics Question Paper with Answer Key

Trending doubts
JEE Main 2025 Session 2: Application Form (Out), Exam Dates (Released), Eligibility, & More

JEE Main 2025: Derivation of Equation of Trajectory in Physics

Electric Field Due to Uniformly Charged Ring for JEE Main 2025 - Formula and Derivation

Electric field due to uniformly charged sphere class 12 physics JEE_Main

Degree of Dissociation and Its Formula With Solved Example for JEE

Displacement-Time Graph and Velocity-Time Graph for JEE

Other Pages
JEE Advanced Marks vs Ranks 2025: Understanding Category-wise Qualifying Marks and Previous Year Cut-offs

JEE Advanced 2025: Dates, Registration, Syllabus, Eligibility Criteria and More

JEE Advanced Weightage 2025 Chapter-Wise for Physics, Maths and Chemistry

Electrical Field of Charged Spherical Shell - JEE

Learn About Angle Of Deviation In Prism: JEE Main Physics 2025

Formula for number of images formed by two plane mirrors class 12 physics JEE_Main
