36 questions and answers
At t=0, the instantaneous value of a 50 Hz, sinusoidal current is 5 Amp and increases in magnitude further. Its R.M.S value is 10 Amp.
The R.M.S value of sinusoidal current is IR.M.S=10 Amp, thus the peak value of current Imax=√2 ×IR.M.S=10√2 Amp.
For the circuit shown bellow, determine the current i1,i2,i3 using nodal analysis
Considering two nodes V1 and V2, we have (V1-24)/2+V1/6+V2/8=3 Or 16V1+3V2=360 …(1) The difference between two nodes is
For the circuit shown below, find the potential difference between a and d:
Applying KVL in 1st mesh, we have 4I1-3=0 Or I1=3/4 Amp. Vab=2I1=2×3/4=3/2 V
State and explain Thevenins theorem. Find the Thevenins equivalent of the circuit of Fig.18(a) as shown at terminal XY.
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Fig. 18(a)
Thevenin’s theorem states that any two terminal bilateral linear d.c circuits can be replaced by an equivalent circuit consisting of a voltage source and a series resistor.
Establish the equivalence between Thevenin’s and Norton’s theorems.
An ideal voltage source can be thought of being a Thevenin equivalent circuit of itself for the special case where series resistance is zero.
Find the value of load resistance RL for which the power source will supply maximum power. Also find the value of the maximum power for the network as shown in Fig. 21.
Fig. 21
According to the Maximum power transform theorem maximum power is delivered by the load resistance RL when internal resistance of the circuit is equal to the load resistance.
Find VAB from the circuit if all the resistances are of same value of 1 Ω.
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Fig. 20(a)
The resistance P and Q are in Series, the equivalent resistance R1=1+1=2Ω The resistance R1 and R are in parallel. The equivalent resistance R2=(2×1)/()=2/3 Ω
Derive an expression for lifting power of a magnet
Consider two poles arranged directly opposite each other as shown in Fig. 29. Let each have an area A square meters and F Newtons be the force of alteration between them.
A Wheatstone bridge consists of AB = 4 Ω, BC = 3 Ω, CD = 6 Ω and DA = 5 Ω, A 2.4 V battery is connected between points B and D. A galvanometer of 8 Ω resistances is connected between A and C. Using Thevenin’s theorems find the current through the galvanometer.
Total resistance of parallel pair \(\frac{9 \times 9}{ 9 + 9}=4.5\ \mathrm{\Omega}\) Source current is \(\frac{2.4}{4.5}=0.53\ Amp\)
State and prove maximum power transfer theorem
The theorem states that a networks delivers maximum power to a resistive load connected across a voltage source when the load resistance is equal to the internal resistance of the voltage source as seen from the output terminals by removing the source and replacing the same by its internal resistance.
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