Example 11.9 Sadiku: A series-connected load draws a current i(t) = 4 cos(100 πt + 10°) A when the applied voltage is v(t) = 120 cos(100πt - 20°) V. Find the apparent power and the power factor of the load. Determine the element values that form the series-connected load.

Eastern Refinery Limited (ERL) - Probationary Engineer (Electrical) - (30-12-2022) ইলেকট্রিক্যাল এন্ড ইলেকট্রনিক্স ইঞ্জিনিয়ারিং (EEE)

Created: 7 months ago | Updated: 7 months ago

Updated: 7 months ago

Ans :

আপারেন্ট পাওয়ার,

$S = V_{r m s} I_{r m s}$ = $\frac{120}{\sqrt{2}} \frac{4}{\sqrt{2}}$ = 240 VA

পাওয়ার ফ্যাক্টর হবে, pf = $c o s (θ_{v} - θ_{i})$

= $\cos (- 20^{°} - 10^{°})$ = 0.866 (leading)

$z = \frac{V}{I}$

= $30 ∠ - 30 ° = 25.98 - j 15 Ω$

$p f = \cos (- 30^{°}) = 0.866$ (leading)

$X_{C} = - 15 = - \frac{1}{ω C}$

$C = \frac{1}{15 ω}$ = $\frac{1}{15 \times 100 π}$ = 212.2 μF

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Question:
Example 11.9 Sadiku: A series-connected load draws a current i(t) = 4 cos(100 πt + 10°) A when the applied voltage is v(t) = 120 cos(100πt - 20°) V. Find the apparent power and the power factor of the load. Determine the element values that form the series-connected load.

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Find currents I and I₁ in the following circuit.

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3 State maximum power transfer theorem.

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Maximum Power Transfer Theorem :

In electrical engineering, the maximum power transfer theorem states that, to obtain maximum external power from a power source with internal resistance, the resistance of the load must equal the resistance of the source as viewed from its output terminals.

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If the switch in the following circuit opens at t = 0, find v(t) for t≥ 0 and the initial energy stored in the capacitor.

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For t<0, the switch is closed.

Capacitor acts as open to DC.

Voltage across the capacitor,

v(0^-)= {(12||4)×V}÷{(12||4)+6} = 8VFor t=0, the switch is opened,Voltage across the Capacitor cannot change instantaneously,So, v(0^-)= v(0) = 8VAt t>0, The capacitor is discharging.R_th= (12||4) = 3 ohmC= 1/6 FTime constant, Π = R_th×C = 0.5 So, v(t) = v(0)e^-t/Π = 8e^-t/0.5=8e^-2tV (Ans.)

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Example 11.9 Sadiku: A series-connected load draws a current i(t) = 4 cos(100 πt + 10°) A when the applied voltage is v(t) = 120 cos(100πt - 20°) V. Find the apparent power and the power factor of the load. Determine the element values that form the series-connected load.

Question:
Example 11.9 Sadiku: A series-connected load draws a current i(t) = 4 cos(100 πt + 10°) A when the applied voltage is v(t) = 120 cos(100πt - 20°) V. Find the apparent power and the power factor of the load. Determine the element values that form the series-connected load.

ইলেকট্রিক্যাল এন্ড ইলেকট্রনিক্স ইঞ্জিনিয়ারিং (EEE)

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Example 11.9 Sadiku: A series-connected load draws a current i(t) = 4 cos(100 πt + 10°) A when the applied voltage is v(t) = 120 cos(100πt - 20°) V. Find the apparent power and the power factor of the load. Determine the element values that form the series-connected load.

Question: Example 11.9 Sadiku: A series-connected load draws a current i(t) = 4 cos(100 πt + 10°) A when the applied voltage is v(t) = 120 cos(100πt - 20°) V. Find the apparent power and the power factor of the load. Determine the element values that form the series-connected load.

ইলেকট্রিক্যাল এন্ড ইলেকট্রনিক্স ইঞ্জিনিয়ারিং (EEE)

Related Question

1 Find currents I and I1 in the following circuit.

2 Determine the Thevenin's equivalent circuit at terminal X-Y of the following circuit.

3 State maximum power transfer theorem.

Maximum Power Transfer Theorem :

4 If the switch in the following circuit opens at t = 0, find v(t) for t≥ 0 and the initial energy stored in the capacitor.

5 Show that a series RL circuit is a low pass filter if the output is taken across the resistor. Calculate the cut-off frequency (fc) if L = 2 mH and R = 10 kΩ.

6 Compute the average and effective values of the square voltage wave shown in the following figure.

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Question:
Example 11.9 Sadiku: A series-connected load draws a current i(t) = 4 cos(100 πt + 10°) A when the applied voltage is v(t) = 120 cos(100πt - 20°) V. Find the apparent power and the power factor of the load. Determine the element values that form the series-connected load.

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Find currents I and I₁ in the following circuit.

2
Determine the Thevenin's equivalent circuit at terminal X-Y of the following circuit.

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If the switch in the following circuit opens at t = 0, find v(t) for t≥ 0 and the initial energy stored in the capacitor.

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Show that a series RL circuit is a low pass filter if the output is taken across the resistor. Calculate the cut-off frequency (f_c) if L = 2 mH and R = 10 kΩ.

6
Compute the average and effective values of the square voltage wave shown in the following figure.