Question
Download Solution PDFIn a parallel circuit, if 'n' resistors, each of 'R' Ω, are connected in parallel, then the total resistance is equal to ______.
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFCONCEPT:
- 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.
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.
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.
⇒ \(\frac{1}{x} = \frac{1}{{{R}}} + \frac{1}{{{R}}} + .... \frac{1}{R} = \frac{N}{R}\)
⇒ \(x =\frac{R}{N}\)
Last updated on Jun 16, 2025
-> SSC JE Electrical 2025 Notification will be released on June 30 for the post of Junior Engineer Electrical/ Electrical & Mechanical.
-> 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.