- Almost the entire mass of an atom is concentrated in the
V
_{P}I_{P}cos &theata; = ½

I_{rms}^{}= ½

I_{rms}= 0.5

I_{P}= 1 / radiac; 2

V_{P}= &radiac; 2. - In a series R-L circuit, the current & voltage are given as i = 1cos(314t – 20°), v = 10 cos (314t + 10°). Find the value of L.
Current lags voltage by (20 + 10) ° = 30 °

Also, V_{m}/ I_{m}= Z

Z =&radiac; {R^{2}+ <ω L)^{2}}

tan 30° = ω L / R. - In a series R-L circuit, R = 20 ohms, while L = 40 mH. Find the value of supplied frequency if the input current lags the supply voltage by 60°
.
- The resistance of series RLC circuit is doubled and inductance is halved then bandwidth becomes
Band width = R / L.
- In the figure below, A
_{1}, A_{2}, A_{3}are ideal ammeters If A_{1}and A_{3}read 5A & 13A respectively reading of A_{2}will beThe three branches are in parallel, hence the voltage across each of them can be represented by one horizontal phasor. As the branch containing A_{1}is resistive, its current phasor is horizontal as well as the branch containing A_{2}is capacitive. Its current phasor leads the voltage by 90°

Thus A_{2}= &radiac; (_{3}^{2}- A_{1}^{2}. - An electric circuit consists a resistance 10 KΩ and a capacitor 1&mm;F. What is the transient voltage across the resistor & capacitor after 5 sec. if 200 V DC is applied to the circuit ?
In RC circuit the time constant, λ = CR

. - Q factor of parallel RLC circuit is 200. If inductor and capacitor are made 4 times and resistor is kept constant then Q factor
.
- Consider the following equation;

What is the value of A &, &theata; ?. - In a network shown below, there is no initial condition across L & C. The switch is closed at t = 0. The I
_{L1}(O^{+}) isAt the instant of closing the switch, inductors offers infinite resistance and capacitor offers resistance

Thus I_{L1}(O^{+}) = 0. - In above question the value of I
_{L1}(infinity) will beAfter reaching steady state, inductor offers zero resistance and capacitor offers infinite resistance

I_{L1}(infinity) = 1 / (1 + 2) A = 1/3 A. - In above question no. 9, the value of V
_{C}(infinity) will beAfter reaching steady state condition, inductor offers zero resistance and capacitor offers infinite resistance

Thus, V_{C}(infinity) = (1 × 2) / (1 + 2) = 2/3 V. - In above question no. 9, the value of V
_{C}(0^{+}) will beAt the instant of closing the switch, inductors offers infinite resistance & capacitor offers zero resistance.

Thus V_{C}(O_{+}) = 0 V. - In following circuit switch S was initially open. At time t = 0, S is closed. When the current through L is 6A, the rate of change of current through the resistor is 6A / S. The value of L will be
From the circuit, we can write

. - The circuit shown below is critically damped. What is the value of R ?
For series RLC circuit, critically damped means,

where R_{0}is the equivalent resistance of R & 120 Ω resistor. - A circuit of resistance R ohm & inductance L henry has a direct voltage applied to it. The current has a direct voltage applied to it. The current reaches 3.2% of its steady state value of 1 mA in 1 second. After the current has reached its final steady state value the circuit is suddenly short circuited. What will be the current after 2 seconds ?
As the time constant of a circuit can be defined as the time taken by the current to reach 63.2% of its steady state value.

So, λ = 1

. - For a RLC circuit R = 40 Ω L = 1.2 H, the value of C will be when critically damped occur –
Critically damped occur when,

Overdamped occur when. [math] C > 4 \frac{L}{R ^2} ' style='vertical-align:1%' class='tex' alt='\frac {R^2} {4L ^2} = \frac {1} {LC} [\math]. - An overdamping RLC circuit has R = 20 Ω L = 0.2 H. What is the value of C ?
Overdamped occur when. [math] C > 4 \frac{L}{R ^2} ' />.
- A coil is at resonance at 10 KHz with a capacitor. If the resistance &inductance of the coil are 200 Ω & 5H. What is the value of Q factor of the coil ?
.
- An unknown impedance of 2Ω is connected in series with (5 + j8)Ω coil. If I = 2.5 ∠ – 15° A find the value Z. Assume V = 50∠ 45° Volts
Z
_{eq}= V/ I. - Consider the following figure. What is the discharging voltage of the capacitor at t = 0
^{ + }?First capacitor is removed to find the net impedance of the circuit through the open circuited terminals.

R^{th}= [(3 + 3) || 6] + 1 = 4 Ω

Discharging voltage of the capacitor be

.

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