Question

28. On 330 successive days, voltage is measured on the powerline and the data
are recorded. Find the modal voltage.
Voltage 214-218 218- 222- 226 230-
(volts)
222 226
230 234
No. of days
15 37 86 164 28​

Answer 1

Step-by-step explanation:

Angular frequency of the ac signal w=2πν

∴ w=2π(50)=100π

Capacitive reactance Xc=wC1

∴ Xc=100π×786×10−61=4Ω

Inductive reactance XL=wL

∴ XL=100π×(25.48×10−3)=8Ω

(a) Impedance of the circuit Z=R2+(XL−Xc)2

∴ Z=32+(8−4)2=5Ω

(b) Phase difference ϕ=tan−1(RXL−Xc)

Or ϕ=tan−1(38−4)=tan−1(34

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