Write the equation for the equivalent resistance of $n$ resistors connected in series and the equation for the equivalent resistance of $n$ resistors connected in parallel.
(N/A) For $n$ resistors with resistances $R_1, R_2, R_3, ..., R_n$ connected in series,the equivalent resistance $R_s$ is the sum of individual resistances:
$R_s = R_1 + R_2 + R_3 + ... + R_n$
For $n$ resistors with resistances $R_1, R_2, R_3, ..., R_n$ connected in parallel,the reciprocal of the equivalent resistance $R_p$ is the sum of the reciprocals of individual resistances:
$\frac{1}{R_p} = \frac{1}{R_1} + \frac{1}{R_2} + \frac{1}{R_3} + ... + \frac{1}{R_n}$
$R_s = R_1 + R_2 + R_3 + ... + R_n$
For $n$ resistors with resistances $R_1, R_2, R_3, ..., R_n$ connected in parallel,the reciprocal of the equivalent resistance $R_p$ is the sum of the reciprocals of individual resistances:
$\frac{1}{R_p} = \frac{1}{R_1} + \frac{1}{R_2} + \frac{1}{R_3} + ... + \frac{1}{R_n}$
Explore More
Similar Questions
Consider the following two circuits:
$A$: $20$ bulbs are connected in series to a power supply line.
$B$: $20$ bulbs identical to $A$ are connected in a parallel circuit to an identical power supply line.
Identify which of the following is not true.
$A$: $20$ bulbs are connected in series to a power supply line.
$B$: $20$ bulbs identical to $A$ are connected in a parallel circuit to an identical power supply line.
Identify which of the following is not true.
$A$ $100\, W$ bulb $B_1$ and two $60\, W$ bulbs $B_2$ and $B_3$ are connected to a $220\, V$ source,as shown in the figure. If $P_1, P_2$,and $P_3$ are the output powers of the bulbs $B_1, B_2$,and $B_3$ respectively,then:
Medium
View SolutionThe equivalent resistance between $A$ and $B$ is $6 \Omega$. The value of $R_1$ is (in $\Omega$)
The effective resistance between points $A$ and $B$ for the following network is (each branch has a resistance of $R$):
Difficult
View SolutionFor the mixed connection shown in the figure,derive the equation for the equivalent resistance.
Difficult
View SolutionVedclass Products
For Students
Vedclass Test Series
Mock tests in real JEE/NEET style with performance analysis. 5-day free trial.
Start Free TrialFor Teachers
Exam Paper Generator
Generate Set A/B/C/D exam papers from 7.5L+ questions in 2 minutes. 3 chapters free.
Try FreeFor Institutes
Online Exam Module
Live online exams with unlimited students, 360° analytics & white-label branding.
See Demo