What will be the phase difference between the alternating current and the voltage represented by the following

equation I = I0 sin (ωt) and E = E0 cos (ωt + π/3).

This question was previously asked in
SSC JE Electrical 10 Oct 2023 Shift 2 Official Paper-I
View all SSC JE EE Papers >
  1. 4π/3
  2. π/3
  3. 5π/3
  4. 5π/6

Answer (Detailed Solution Below)

Option 4 : 5π/6
Free
RRB JE CBT I Full Test - 23
14.3 K Users
100 Questions 100 Marks 90 Mins

Detailed Solution

Download Solution PDF

Calculation:
Given, 
I = I0 sin (ωt) and E = E0 cos (ωt + π/3)

The current can be written as 

I = I0 sin (π/2 + ωt - π/2)

=  I0 sin (π/2 + (ωt - π/2)) -----(1)

We know that sin( π/2 + x) =  Cos (x).-----(2)

From "1" and "2", we can write current "I" as,

I = I0 cos (ωt - π/2).

The phase difference E and I will be equals to

 π/3 -  (-π/2)

= 5π/6

Latest SSC JE EE Updates

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.

Get Free Access Now
Hot Links: teen patti wink teen patti download teen patti jodi teen patti cash teen patti rules