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Alternating Quantities: RMS and Mean for GUJCET: 14 solved questions

Real GUJCET paper questions on alternating quantities: rms and mean, part of alternating current. Each opens with the options, the correct answer and a step-by-step solution. Papers run from 2008 to 2025. No sign-in needed to read them.

What this topic asks

• RMS and mean values — 9 questions
• Instantaneous values and timing — 5 questions

All 14 questions with solutions

• At time t=0 s the voltage of an A.C. generator starts from 0 V and becomes 2 V at time t=1/(100π) s. The volt… GUJCET 2008
• Find the time required for a 50 Hz alternating current to change its value from zero to the rms value. GUJCET 2009
• The peak value of an alternating current is 5 A and its frequency is 60 Hz. Find its rms value and the time t… GUJCET 2011
• An electric current has both D.C. and A.C. components: the D.C. component is 8 A and the A.C. component is I=… GUJCET 2014
• For an A.C. given by I = 50 cos(100t + 45°) A, the value of Iᵣₘₛ = A. GUJCET 2017
• The output of a step-down transformer is measured to be 24 V when connected to a 12 W light bulb. The value o… GUJCET 2023
• What is the approximate percentage value of maximum voltage to its rms value in LCR AC circuit? GUJCET 2025
• The output voltage of a step-down transformer is measured to be 24 V, when connected to a 12 watt light bulb.… GUJCET 2025
• In an a.c. circuit the peak value of voltage is 141.4 V. Then the rms value of voltage is volt. GSEB Board March 2016
• In an A.C. circuit the direction of the electric current gets reversed after every 2×10⁻² s. What is the freq… GSEB Board March 2016
• In an A.C. circuit, in 1 s the current reduces to zero value 120 times. Hence the frequency of the A.C. curre… GSEB Board July 2017
• What is the r.m.s. value of the current for the A.C. current I=100 cos(200t+45°) A? GSEB Board July 2017
• The peak voltage of an ac supply is 300 V. V is the value of the rms voltage. GSEB Board August 2020
• If the rms current in a 50 Hz a.c. circuit is 5 A and at time t = 0 the current I is 0, the value of the curr… GSEB Board March 2023