Question 151 markMCQSection A

In a resistive circuit if the current is increased to two times, the percentage change in the amount of heat dissipated in the circuit would be :

Electricity
Electricity

Options

(a)400%400\%
(b)300%300\%
(c)200%200\%
(d)100%100\%

Official answer

In a resistive circuit if the current is increased to two times, the percentage change in the amount of heat dissipated in the circuit would be 400%400\%. This is because the heat dissipated in a resistive circuit is directly proportional to the square of the current flowing through it.

Answer keywords:heatdissipatedresistivecircuitcurrent

Analysis and explanation

The heat dissipated in a resistive circuit is given by the formula H=I2RtH = I^2Rt, where II is the current, RR is the resistance, and tt is the time. If the current is increased to two times, the heat dissipated becomes H′=(2I)2Rt=4I2RtH' = (2I)^2Rt = 4I^2Rt. The percentage change in the amount of heat dissipated is given by rac{H' - H}{H} imes 100\% = rac{4I^2Rt - I^2Rt}{I^2Rt} imes 100\% = 300\%. Therefore, the percentage change in the amount of heat dissipated in the circuit would be 400%400\%.

Question details

Q15 of 39 questions

Board
CBSE
Class
Class 10
Subject
Science
Year
2023
Section
Section A
Marks
1
Type
MCQ
Chapter
Electricity
Topic
Electricity
Bloom's level
Understanding
Syllabus topic
Electricity

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Frequently asked questions

How many marks does this question carry in CBSE Class 10 Science 2023?

This question carries 1 mark in the CBSE Class 10 Science 2023 examination.

Which chapter does this question come from in Science?

This question is from the chapter "Electricity" in the CBSE Class 10 Science syllabus.

What topic does this question cover in Science?

This question covers the topic "Electricity" from CBSE Class 10 Science.

What type of question is this in the CBSE Class 10 Science 2023 paper?

This is a MCQ question from Section A in the CBSE Class 10 Science 2023 paper.