JEE Exam  >  JEE Questions  >  Two coils each of 250 ohm. Resistance are con... Start Learning for Free
Two coils each of 250 ohm. Resistance are connected in series across a constant voltage. Calculate the value of resistance to be connected in parallel with one of the coils to reduce t potential difference across its terminal by 1%.?
Most Upvoted Answer
Two coils each of 250 ohm. Resistance are connected in series across a...
Problem Statement

Two coils, each of 250 ohm resistance, are connected in series across a constant voltage. Calculate the value of resistance to be connected in parallel with one of the coils to reduce the potential difference across its terminal by 1%?


Solution

Let's start with some basic concepts of series and parallel resistors.


Series Resistors

When resistors are connected in series, the total resistance of the circuit is the sum of the individual resistances:

RS = R1 + R2 + R3 + ... + Rn


Parallel Resistors

When resistors are connected in parallel, the total resistance of the circuit is given by:

1/RP = 1/R1 + 1/R2 + 1/R3 + ... + 1/Rn

RP = (R1 * R2 * R3 * ... * Rn) / (R1 + R2 + R3 + ... + Rn)


Calculating the Total Resistance

In this problem, we have two coils each of 250 ohm resistance connected in series. Therefore, the total resistance of the circuit is:

RT = R1 + R2 = 250 + 250 = 500 ohm


Reducing the Potential Difference

To reduce the potential difference across one of the coils by 1%, we need to connect a resistor in parallel with it. Let's call this resistor RX.

The potential difference across the coil is given by:

V1 = I * R1

where I is the current flowing through the circuit.

If we want to reduce the potential difference across the coil by 1%, we need to have:

V1 - 0.01 * V1 = 0.99 * V1

Therefore, we need to have:

I * R1 = 0.99 * (I * R1 + I * RX)

After simplification, we get:

RX = R1 * (0.99 - 1) / 1 = -2.5 ohm

This means that
Community Answer
Two coils each of 250 ohm. Resistance are connected in series across a...
Explore Courses for JEE exam
Two coils each of 250 ohm. Resistance are connected in series across a constant voltage. Calculate the value of resistance to be connected in parallel with one of the coils to reduce t potential difference across its terminal by 1%.?
Question Description
Two coils each of 250 ohm. Resistance are connected in series across a constant voltage. Calculate the value of resistance to be connected in parallel with one of the coils to reduce t potential difference across its terminal by 1%.? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about Two coils each of 250 ohm. Resistance are connected in series across a constant voltage. Calculate the value of resistance to be connected in parallel with one of the coils to reduce t potential difference across its terminal by 1%.? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Two coils each of 250 ohm. Resistance are connected in series across a constant voltage. Calculate the value of resistance to be connected in parallel with one of the coils to reduce t potential difference across its terminal by 1%.?.
Solutions for Two coils each of 250 ohm. Resistance are connected in series across a constant voltage. Calculate the value of resistance to be connected in parallel with one of the coils to reduce t potential difference across its terminal by 1%.? in English & in Hindi are available as part of our courses for JEE. Download more important topics, notes, lectures and mock test series for JEE Exam by signing up for free.
Here you can find the meaning of Two coils each of 250 ohm. Resistance are connected in series across a constant voltage. Calculate the value of resistance to be connected in parallel with one of the coils to reduce t potential difference across its terminal by 1%.? defined & explained in the simplest way possible. Besides giving the explanation of Two coils each of 250 ohm. Resistance are connected in series across a constant voltage. Calculate the value of resistance to be connected in parallel with one of the coils to reduce t potential difference across its terminal by 1%.?, a detailed solution for Two coils each of 250 ohm. Resistance are connected in series across a constant voltage. Calculate the value of resistance to be connected in parallel with one of the coils to reduce t potential difference across its terminal by 1%.? has been provided alongside types of Two coils each of 250 ohm. Resistance are connected in series across a constant voltage. Calculate the value of resistance to be connected in parallel with one of the coils to reduce t potential difference across its terminal by 1%.? theory, EduRev gives you an ample number of questions to practice Two coils each of 250 ohm. Resistance are connected in series across a constant voltage. Calculate the value of resistance to be connected in parallel with one of the coils to reduce t potential difference across its terminal by 1%.? tests, examples and also practice JEE tests.
Explore Courses for JEE exam

Top Courses for JEE

Explore Courses
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
10M+ students study on EduRev