In a series L-C-R circuit, resistance R = 10 Ω and the impedance Z = 10 Ω. The phase difference between the current and the voltage is

0^o

30^o

45^o

60^o

Solution

0^o

Impedance (Z ) is an expression of the opposition that an electronic component, circuit, or system offers to alternating and/or direct electric current. Impedance is a vector ( two- dimensional ) quantity consisting of two independent scalar ( one dimensional ) phenomena: resistance and reactance.

Impedance,

z = $\sqrt{R^{2} + {(X_{C} - X_{L})}^{2}}$

∴ 10 = $\sqrt{{(10)}^{2} + {(X_{C} - X_{L})}^{2}}$

⇒ 100 = 100 + ${(X_{C} - X_{L})}^{2}$

⇒ $X_{L} - X_{C} = 0$ ..... (i)

Let $ϕ$ is the phase difference between current and voltage

∴ $\tan ϕ = \frac{X_{C} - X_{L}}{R}$

$\tan ϕ = \frac{X_{C} - X_{L}}{R}$

⇒ $ϕ = 0$ [ from equation (i) ]

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In a series L-C-R circuit, resistance R = 10 Ω and the impedance Z = 10 Ω. The phase difference between the current and the voltage is

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In a series L-C-R circuit, resistance R = 10 Ω and the impedance Z = 10 Ω. The phase difference between the current and the voltage is 0o 30o 45o 60o

Some More Questions From Alternating Current Chapter

The phase difference between the alternating current and emf is π/2. Which of the following cannot be the constituent of the circuit?

Alternating current can not be measured by D.C. ammeter because

In an LCR series a.c. circuit, the voltage across each of the components, L, C and R is 50 V. The voltage across the LC combination will be

Mock Test Series

NCERT Sample Papers

Entrance Exams Preparation

In a series L-C-R circuit, resistance R = 10 Ω and the impedance Z = 10 Ω. The phase difference between the current and the voltage is

0^o

30^o

45^o

60^o