Download Aptitude Crack
img not found img not found

RLC Circuits and Resonance

Q1:
What is the voltage across R1, C1, and L1?

A VR = 156 V, VC = 165 V, VL = 441 V

B VR = 178 V, VC = 187 V, VL = 503 V

C VR = 219 V, VC = 232 V, VL = 619 V

D VR = 260 V, VC = 276 V, VL = 735 V

ANS:A - VR = 156 V, VC = 165 V, VL = 441 V

If you need to understand the solution check below.

Xl=(2.pi.f.L) => 2*3.14*1500*3 => 28,274ohm.
Xc= ( 1/2.pi.f.C) => 1/2*3.14*1500*0.01uF => 10,610ohm.

Vt=317v ( total).
Vr=I*R ( resis).
Vl=I*Xl (Induc).
Vc=I*Xc (caps).

(Note Vl and Vc are in reverse angle). So Vl - Vc in one vertical plane. Vr is horizontal.

I is same in all the devices but V is not same in degree so use Pythagoras, then we get,

sqr(Vt) = sqr(Vr) + sqr(Vl - Vc).
sqr(317) = sqr(I*R) + sqr(I*Xl - I*Xc).
sqr(317) = sqr(I) *( sqr(10K) + sqr(28,274 - 10,610) ).

sqr(I)= sqr(317)/ sqr(10K) + sqr(17,664).

I = sqrt(2.43895- e4).
I = 0.015617A.
= 15.617mA.

Vr = I*R = 0.015617*10k = 156V.
Vl = I*Xl = 0.015617 * 28,274 = 441V.
Vc = I*XC = 0.15617 * 10,610 = 165V.



img not found
img

For help Students Orientation
Mcqs Questions

One stop destination for examination, preparation, recruitment, and more. Specially designed online test to solve all your preparation worries. Go wherever you want to and practice whenever you want, using the online test platform.