An a.c circuit of e.m.f 12V has a resistor of resistance 8Ω connected in series to an inductor of inductive reactance 16Ω and a capacitor capacitive reactance 10Ω. The current flow in the circuit is
A
1.4A
B
1.2A
C
12.0A
D
14.0A
Verified Correct Answer: B.
Physical Principles & Numerical Solution
Current (I) in the circuit = V/Z
But z =
\sqrt R2 + (XL - XC)2
=
\sqrt 82 + (16 – 10) 2
=
\sqrt 64 + 36
=
\sqrt 100 = 10Ω
∴ Current (I) = V/Z = 12/10 = 1.2 A
Source: Myschool Past Questions Archive (Record #12788)