A coil of inductance 5.0mH and negligible resistance is connected to the oscillator of the previous problem. Find the peak currents in the circuit for $\omega=100\text{s}^{-1},500\text{s}^{-1},1000\text{s}^{-1}.$
Download our app for free and get started
Inductance $=5.0\text{mH}=0.005\text{H}$
$=100\times\frac{5}{1000}=0.5\Omega$
$=\text{i}=\frac{\in_0}{\text{X}_\text{L}}=\frac{10}{0.5}=20\text{A}$
$=500\times\frac{5}{1000}=2.5\Omega$
$=\text{i}=\frac{\in_0}{\text{X}_\text{L}}=\frac{10}{2.5}=4\text{A}$
$=1000\times\frac{5}{1000}=5\Omega$
$=\text{i}=\frac{\in_0}{\text{X}_\text{L}}=\frac{10}{5}=2\text{A}$
- $\omega=100\text{s}^{-1}$
$=100\times\frac{5}{1000}=0.5\Omega$
$=\text{i}=\frac{\in_0}{\text{X}_\text{L}}=\frac{10}{0.5}=20\text{A}$
- $\omega=500\text{s}^{-1}$
$=500\times\frac{5}{1000}=2.5\Omega$
$=\text{i}=\frac{\in_0}{\text{X}_\text{L}}=\frac{10}{2.5}=4\text{A}$
- $\omega=1000\text{s}^{-1}$
$=1000\times\frac{5}{1000}=5\Omega$
$=\text{i}=\frac{\in_0}{\text{X}_\text{L}}=\frac{10}{5}=2\text{A}$
Download our appand get started for free
Experience the future of education. Simply download our apps or reach out to us for more information. Let's shape the future of learning together!No signup needed.*
Similar Questions
- 1View Solution
- For a glass prism $(\mu =\sqrt{3} )$ the angle of minimum deviation is equal to the angle of the prism. Calculate the angle of the prism.
- Draw ray diagram when incident ray falls normally on one of the two equal sides of a right angled isosceles prism having refractive index $\mu = \sqrt{3} . $
- 2View SolutionObtain the resonant frequency ωr of a series LCR circuit with L = 2.0H, C = 32μF and R = 10Ω. What is the Q-value of this circuit?
- 3An inductor 200mH, a capacitor $100\mu\text{F}$ and a resistor $10\Omega$ are connected in series to an a.c. source of 100V, having variable frequency.View Solution
- At what frequency of the applied voltage will the power factor of the circuit be 1?
- What will be the current amplitude at this frequency?
- Calculate the Q-factor of the circuit.
- 4View Solution
Given below are two electric circuits A and B.
Calculate the ratio of power factor of the circuit B to the power factor of circuit A. - 5View SolutionPlot a graph showing the variation of binding energy per nucleon as a function of mass number. Which property of nuclear force explains the approximate constancy of binding energy in the range 30 < A < 170? How does one explain the release of energy in both the processes of nuclear fission and fusion from the graph?
- 6View SolutionFind the time required for a 50Hz alternating current to change its value from zero to the rms value.
- 7View SolutionSuppose the frequency of the source in the previous example can be varied. (a) What is the frequency of the source at which resonance occurs? (b) Calculate the impedance, the current, and the power dissipated at the resonant condition.
- 8View Solution
- Name the phenomenon on which the working of an optical fibre is based.
- What are the necessary conditions for this phenomenon to occur?
- Draw a labelled diagram of an optical fibre and show how light propagates through the optical fibre using this phenomenon.
- 9A network of four 10 $\mu$F capacitors is connected to a 500 V supply as shown in the figure. Determine theView Solution
- equivalent capacitance of the network and.
- charge on each capacitor.
- 10View SolutionWrite two important considerations used while fabricating a Zener diode. Explain, with the help of a circuit diagram, the principle and working of a Zener diode as voltage regulator.