SATHEE: Electro Magnetic Induction And Alternating Currents Question 408

Electro Magnetic Induction And Alternating Currents Question 408

Question: Two resistors of 10 $Ω$ and 20 $Ω$ and an ideal inductor of 10 H are connected to a 2 V battery as . Key K is inserted at time t = 0. The initial (t = 0) and final ( $t \to \infty$ ) currents through the battery are

Options:

A) $\frac{1}{15} A, \frac{1}{10} A$

B) $\frac{1}{10} A, \frac{1}{15} A$

C) $\frac{2}{15} A, \frac{1}{10} A$

D) $\frac{1}{15} A, \frac{2}{25} A$

Show Answer

Answer:

Correct Answer: A

Solution:

At $t = 0$ i.e., when the key is just pressed, no current exists inside the inductor.

So $10 Ω$ and $20 Ω$ resistors are in series and a net resistance of (10+20) = 30 $Ω$ exists across the circuit.

Hence, $I_{l} = \frac{2}{30} = \frac{1}{15} A$

As $t \to \infty$ , the current in the inductor grows to attain a maximum value. i.e., the entire current passes through the inductor and no current passes through 10 $Ω$ resistor.

Hence, $I_{2} = \frac{2}{20} = \frac{1}{10} A$

Play Store

App Store

Ask SATHEE

Welcome to SATHEE !
Select from 'Menu' to explore our services, or ask SATHEE to get started. Let's embark on this journey of growth together! 🌐📚🚀🎓

I'm relatively new and can sometimes make mistakes.
If you notice any error, such as an incorrect solution, please use the thumbs down icon to aid my learning.
To begin your journey now, click on "I understand".

Electro Magnetic Induction And Alternating Currents Question 408

Question: Two resistors of 10 Ω and 20 Ω and an ideal inductor of 10 H are connected to a 2 V battery as . Key K is inserted at time t = 0. The initial (t = 0) and final ( t→∞ ) currents through the battery are

Options:

Answer:

Solution:

Engineering Preparation

Medical Preparation

NCERT Books & Solutions

Important Resources

Other Resources

Syllabus

Test Platform

Sample Mock Test

Mentorship

NCERT Exercise Video Solution

Menu

Question: Two resistors of 10 $Ω$ and 20 $Ω$ and an ideal inductor of 10 H are connected to a 2 V battery as . Key K is inserted at time t = 0. The initial (t = 0) and final ( $t \to \infty$ ) currents through the battery are