Question

The resistor $R_{1}$ dissipates power $P$ when connected to a generator. if a resistor $R_{2}$ is inserted in series with $R_{1}$, the power dissipated by $R_{1}$ (a) increases (b) decreases (c) remains the same (d) may decrease or increase depending on the values of $R_{1}$ and $R_{2}$

Name: Problem 70, Chapter 18: Objective Physics for NEET
Uploaded: 2021-09-25T18:04:39-08:00
Duration: 1 min 32 s
Channel: Sachin Rao
Description: The resistor R1 dissipates power P when connected to a generator. if a resistor R2 is inserted in series with R1, the power dissipated by R1 (a) increases (b) decreases (c) remains the same (d) may decrease or increase depending on the values of R1 and R2

   The resistor $R_{1}$ dissipates power $P$ when connected to a generator. if a resistor $R_{2}$ is inserted in series with $R_{1}$, the power dissipated by $R_{1}$
(a) increases
(b) decreases
(c) remains the same
(d) may decrease or increase depending on the values of $R_{1}$ and $R_{2}$

Objective Physics for NEET

Abhay Kumar 2nd Edition

Chapter 18, Problem 70

Instant Answer

Solved by Expert Sachin Rao

09/25/2021

Step 1

The power dissipation in a resistor is given by the formula $P = \frac{V^{2}}{R}$, where $V$ is the voltage across the resistor and $R$ is the resistance. Show more…

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The resistor $R_{1}$ dissipates power $P$ when connected to a generator. if a resistor $R_{2}$ is inserted in series with $R_{1}$, the power dissipated by $R_{1}$ (a) increases (b) decreases (c) remains the same (d) may decrease or increase depending on the values of $R_{1}$ and $R_{2}$

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Key Concepts

Power Dissipation in Resistors

Power dissipation in resistors is determined by the relationship P = I² × R, where I is the current through the resistor. As current decreases due to the increase in total resistance when an additional resistor is added in series, the power dissipated by an individual resistor also decreases.

Ohm's Law

Ohm's Law is a fundamental principle in electrical circuits that relates voltage, current, and resistance through the formula V = I × R. It is crucial for understanding how changes in resistance affect current flow and voltage distribution in a circuit.

Series Circuits

In a series circuit, all components are connected end-to-end so that the same current flows through each element. This means that the addition of a resistor in series will increase the overall circuit resistance, leading to a decrease in current for a given applied voltage.

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