In a parallel circuit, if 'n' resistors, each of 'R' Ω, are connected in parallel, then the total resistance is equal to ______.

This question was previously asked in
SSC JE Electrical 06 Jun 2024 Shift 2 Official Paper - 1
View all SSC JE EE Papers >
  1. R/n
  2. (R2)/n
  3. R × n
  4. R + n

Answer (Detailed Solution Below)

Option 1 : R/n
Free
Electrical Machine for All AE/JE EE Exams Mock Test
7.7 K Users
20 Questions 20 Marks 20 Mins

Detailed Solution

Download Solution PDF

CONCEPT:

  • Resistances in series combination: When two or more resistances are connected one after another such that the same current flows through them are called resistances in series.

F1 Jitendra Deepak 30.03.2020 D7

The net resistance/equivalent resistance (R) of resistances in series is given by:

Equivalent resistance, R = R1 + R2

  • Resistances in parallel combination: When two or more resistances are connected across different branches such that the potential drop across them are the same, they are said to be in parallel connection.

F1 Jitendra Deepak 30.03.2020 D8

The net resistance/equivalent resistance (R) of resistances in parallel is given by:

Equivalent resistance (R)\(\frac{1}{R} = \frac{1}{{{R_1}}} + \frac{1}{{{R_2}}}\)

EXPLANATION:

Initially, N resistors were connected in parallel. The equivalent resistance is x.

⇒  \(\frac{1}{x} = \frac{1}{{{R}}} + \frac{1}{{{R}}} + .... \frac{1}{R} = \frac{N}{R}\)

⇒ \(x =\frac{R}{N}\)    

Latest SSC JE EE Updates

Last updated on Jul 1, 2025

-> SSC JE Electrical 2025 Notification is released on June 30 for the post of Junior Engineer Electrical, Civil & Mechanical.

-> There are a total 1340 No of vacancies have been announced. Categtory wise vacancy distribution will be announced later.

-> Applicants can fill out the SSC JE application form 2025 for Electrical Engineering from June 30 to July 21.

-> SSC JE EE 2025 paper 1 exam will be conducted from October 27 to 31. 

-> Candidates with a degree/diploma in engineering are eligible for this post.

-> The selection process includes Paper I and Paper II online exams, followed by document verification.

-> Prepare for the exam using SSC JE EE Previous Year Papers.

Get Free Access Now
Hot Links: happy teen patti teen patti master mpl teen patti teen patti master official teen patti master 2024