A circuit with an electrical load having impedance Z is connected with an AC source as shown in the diagram. The source voltage varies in time as V ( t ) = 300 sin ( 400 t ) V , where t is time in s.

Question

A circuit with an electrical load having impedance $Z$ is connected with an AC source as shown in the diagram. The source voltage varies in time as $V (t) = 300 sin (400 t) V$ , where $t$ is time in s. List-I shows various options for the load. The possible currents $i (t)$ in the circuit as a function of time are given in List-II.

Choose the option that describes the correct match between the entries in List-I to those in List-II.

	List-I		List-II
$(P)$		$(1)$
$(Q)$		$(2)$
$(R)$		$(3)$
$(S)$		$(4)$
		$(5)$

TestHub · Accepted Answer

For P i = R V ​ = 10 sin 400 t ⇒ ( 3 ) For Q ​ X L ​ = ω L = 400 × 100 × 1 0 − 3 = 40Ω ∴ Z = 50Ω ∴ i = 50 300 ​ sin ( 400 t − 5 3 ∘ ) [current will lag by tan − 1 R X L ​ ​ ] ⇒ ( 5 ) ​ For R ​ X C ​ = 400 × 50 1 0 6 ​ Ω = 50Ω and X L ​ = 400 × 25 × 1 0 − 3 = 10Ω ∴ Z = 50Ω ∴ i = 50 300 ​ sin ( 400 t + 5 3 ∘ ) [ Current will lead by tan − 1 R X C ​ − X L ​ ​ ] ⇒ ( 2 ) ​ For S ∴ i = 60 300 ​ sin ( 400 t ) X L ​ = X C ​ ⇒ Resonance ⇒ ( 1 )

Physics - EMI/AC Question with Solution | TestHub

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