A coil of resistance 10 Ω and inductance 0.02 Hs connected in series with another coil of resistance 6 Ω and inductance 15 mH across a 230 V, 50 Hz supply. calculate
Fig. 27
The circuit diagram of question 6(b) is given in Fig. 27.
Total impedance for coil 1 is \(Z_1=\left(10+j\times2\pi\times50\times0.02\right)=(10+j6.282)\ \mathrm{\Omega}\)
\(Z_1=\sqrt{{10}^2+{6.282}^2}\ \tan^{-1}{\frac{6.282}{10}}=11.81{(32.14)}^0\)
Total impedance for coil 2 is \(Z_2=\left(6+j\times2\pi\times50\times15\times{10}^{-3}\right)=(6+j4.71)\ \mathrm{\Omega}\)
\(Z_2=\sqrt{6^2+{4.71}^2}\ \tan^{-1}{\frac{4.71}{6}}=7.63{(38.13)}^0\)
Total impedance of the circuit is Z=Z_1+Z_2=\left(16+j11\right)\mathrm{\Omega}=19.4\ {(34.5)}^0\)
The current through the circuit is \(I=\frac{230{(0)}^0}{19.4\ {(34.5)}^0}=11.86{(-34.5)}^0\)
The current follow through the circuit is 11.86 Amp at {\(34.5}^0\) lagging the supply voltage.
The voltage drop across the coil 1 is \(11.86\times11.81\ {(-34.5+32.14)}^0=140\ {(-2.36)}^0\)
The voltage drop across the coil 2 is \(11.86\times7.63\ {(38.13-34.5)}^0=90.49\ {(3.63)}^0\)
The total apparent power consume by the circuit is \({11.86}^2\times19.4=2728.796\ Watts\)
What is meant by hysteresis in a magnetic circuit? What is the significance of B-H curve?
Write short notes on:
State and prove maximum power transfer theorem
Write short note on LVDT
Explain the tunneling action in a tunnel diode.
