Exams › GATE › Technical

A source vₛ(t) = V cos 100π t has an internal impedance of (4 + j3) Ω. If a purely resistive load connected to this source has to extract the maximum power out of the source, its value in Ω should be

1. 3
2. 4
3. 5
4. 7

Correct answer: 5

Solution

Identical to the maximum-power problem: a purely resistive load matched to source impedance 4+j3 must equal |Zs| = sqrt(16+9) = 5 ohm. The value 5 is option index 2; the stored answer (7) is wrong.

Related GATE Technical questions

• A bulb in a staircase has two switches, one switch being at the ground floor and the other one at the first floor. The bulb can be turned ON and also can be turned OFF by any one of the switches irrespective of the state of the other switch. The logic of switching of the bulb resembles
• Two systems with impulse responses h1(t) and h2(t) are connected in cascade. Then the overall impulse response of the cascaded system is given by
• In a forward biased pn junction diode, the sequence of events that best describes the mechanism of current flow is
• In IC technology, dry oxidation (using dry oxygen) as compared to wet oxidation (using steam or water vapor) produces
• The Bode plot of a transfer function G(s) is shown in the figure below. The gain |20 log |G(s)| is 32 dB and 8 dB at 1 rad/s and 10 rad/s respectively. The phase is negative for all ω. Then G(s) is
• In a voltage-voltage feedback as shown below, which one of the following statements is TRUE if the gain k is increased?

⚔️ Practice GATE Technical free + battle 1v1 →