In the RLC series circuit shown in figure, resonance occurs when the value of C is 20 µF. The supply voltages is v(t) = 20 sin (500t) V. Find the value of L.

Here,
ω = 500 rad/sec = 2πf.
At Resonance condition,
ωL = 1/(ωC)
L 0.2 H
Also at series resonace
1. fr = 1/[2π√(LC)]
2. PF = 1
3. Maximum current
4. Source voltage = voltage across resistor.

A short-shunt dc compound generator supplies 50 A at 300 V. If the shunt field resistance, series field resistance and armature resistance are 30 Ω, 0.03Ω, and 0.05 Ω respectively, determine the e.m.f. generated.

Here,
Vt = 300 V
Rse = 0.03 Ω, Rsh = 30 Ω, Ra = 0.05 Ω
I_L = 50 A

Vsh = V + I_L*Rse = 300 + 50*0.03 = 301.5 V
Ish = Vsh/Rsh = 301.5/30 = 10.05 A

Ia = Ish + I_L = 60.05 A

Eg = Vt + I_L*Rse + IaRa
Eg = 300 + 50*0.03 + 60.05*0.05 = 304.5025 V

Interposing current-transformer (CT) is used in differential protection of a transformer to

The main function of an interposing CT is to balance the currents supplied to the relay where there would be an imbalance due to the ratios of the main CTs.
Interposing CTs are equipment with a ratio that can be selected by the user to achieve the balance required.
An interposing CT is installed between the secondary winding of the main CT and relay.

Rearrange the following to form a meaningful sentence and find the most logical order from the given options.
P: dancers make the company
Q: and they do not have
R: a big team of professional
S: a ‘guru shishya’ hierarchy

શિક્ષકે વિદ્યાર્થીને વાર્તા કહી'
1. વાક્ય અક્મર્ક છે.
2. વાક્ય દ્રીકર્મક છે.
3. વાક્યમાં વિદ્યાર્થીને 'પ્રધાન કર્મ' છે અને વાર્તા 'ગૌણ કર્મ' છે.
4.વાક્યમાં વાર્તાને 'પ્રધાન કર્મ' છે અને વિધાથીને 'ગૌણ કર્મ' છે

If all the devices are connected to a central hub, then the topology is called