Videos
A series RLC circuit can have a higher voltage than the source voltage across the resistor.
Whether the given statement is true or false.
Answer to Problem 1TFQ
False.
Explanation of Solution
Given:
The given statement is:
The voltage across the resistor in a series RLC circuit is higher than the source voltage.
Calculation:
In case of a series resonant circuit, the capacitive reactance and the inductive reactance are equal and opposite to each other. Therefore, they cancel out each other’s effect. That is, the remaining circuit behaves like a resistive circuit. Hence, the voltage across the resistor is equal to the source voltage. This means that for the current brought up through any one branch, the other branch needs to return it to the ground at the same rate. That is, the currents through those branches must cancel out each other to zero.That is why, the value of total current in the L and C branches of a parallel circuit at resonance will be zero.
When the frequency is less than the resonant frequency, the value of inductive reactance is less than the capacitive reactance. In case of the parallel circuits, the current in the branch having more reactance will be less than the branch having less reactance. This concludes that the current flowing through the inductor is more and hence, the circuit is an inductive circuit. Current lags the voltage in case of inductive circuits.
In case of a parallel resonant circuit, the capacitive reactance and the inductive reactance are equal and opposite to each other. Therefore, they cancel out each other’s effect. That is, the current in the capacitive branch and the inductive branch are always 180 degrees out of phase to each other. Therefore, the capacitive and the inductive current subtract from each other.That is, the remaining circuit behaves like a resistive circuit. Hence, the voltage across the resistor is equal to the source voltage. The total current in the circuit will be equal to the resistance current.
Therefore, the given statement is False.
Want to see more full solutions like this?
Chapter 13 Solutions
Electronics Fundamentals: Circuits, Devices & Applications
- In the op-amp circuit shown in Fig. P8.32,uin(t) = 12cos(1000t) V,R = 10 k Ohm , RL = 5 k Ohm, and C = 1 μF. Determine the complexpower for each of the passive elements in the circuit. Isconservation of energy satisfied?arrow_forward2-4) Similar to Lathi & Ding prob. 2.9-4 (a) For signal g(t)=t, find the exponential Fourier series to represent g(t) over the interval(0, 1). (b) Sketch the original signal g(t) and the everlasting signal g'(t) represented by the same Fourier series. (c) Verify Parseval's theorem [eq. (2.103b)] for g'(t), given that: = n 1 6arrow_forward8.24 In the circuit of Fig. P8.24, is(t) = 0.2sin105t A,R = 20 W, L = 0.1 mH, and C = 2 μF. Show that the sum ofthe complex powers for the three passive elements is equal to thecomplex power of the source.arrow_forward
- 3. VEB (on) 0.7 V, VEC (sat) = 0.2 V, and ẞ = 150. RB = 50 kQ, Rc = 2 kQ, and Vcc = 5 V. a) Find the range of V₁ for the cut-off. Forward active, and saturation regions. (20 points) b) Draw the voltage transfer characteristic (VTC) graph. (10 points) Vcc VEB V₁ RB www 。 Vo Rc Figure 3arrow_forward2-1) Lathi & Ding prob. 2.5-2 For the signals y(t) and x(t) shown below, find the component of the form y(t) contained in x(t). In other words, find the optimum value of c in the approximation x(t) = cy(t) so that the error signal energy is minimum. Also compute the error signal energy. y(t) x(t) 0 1 0 1arrow_forward1. Is1 = 2ls2 = 4 × 10-16 A, B₁ = ẞ2 = 100, and R₁ = 5 kQ. Find the VB such that lx = 1 mA. (30 points) R1 ww Q2 + VB Figure 1arrow_forward
- 2-2) Lathi & Ding prob. 2.6-1 2.6-1 Find the correlation coefficient p between of signal x(t) and each of the four pulses g1(1), 82(1), 83(1), and g4(f) shown in Fig. P2.6-1. To provide maximum margin against the noise along the transmission path, which pair of pulses would you select for a binary communication? Figure P.2.6-1 x(f) (a) 8(1) (b) 82(1) (c) 1 1 sin 2πt sin 4πt -sin 2 0 0.707 83(1) 0 1 (d) 0 M P 0.707 84(1) (e) 0 0.5 -0.707arrow_forward2. Determine the operation point and the small-signal model of Q₁ for each of the circuits shown in Fig. 2. Assume Is = 8 × 10-16 A, B = 100 and VA = ∞. a) 20 points b) 20 points 0.8 V RC 50 Ω + Vcc = 2.5 V 4A" Figure 2-a Rc1kQ + Vcc = 2.5 V Figure 2-barrow_forwardPlease explain in detail how to solve this question. Show detailed steps in terms of calculation and theory. thank youarrow_forward
Delmar's Standard Textbook Of ElectricityElectrical EngineeringISBN:9781337900348Author:Stephen L. HermanPublisher:Cengage Learning