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COMPLEX NOTATION ;
A voltage, v = 150sin(314t + 30�) volts, is maintained across a coil having a resistance of 20 Ω and an inductance of 0.1 H. Derive expressions for the r.m.s. values of the voltage and current phasors in: (a) rectangular notation; (b) polar notation. Draw the phasor diagram?
A voltage, v = 150sin(314t + 30�) volts, is maintained across a coil having a resistance of 20 Ω and an inductance of 0.1 H. Derive expressions for the r.m.s. values of the voltage and current phasors in: (a) rectangular notation; (b) polar notation. Draw the phasor diagram?
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COMPLEX NOTATION ; A voltage, v = 150sin(314t + 30�) volts, is maintai...
Complex Notation for Voltage
The given voltage, v = 150sin(314t + 30°) volts can be represented in complex notation as:
V = 150∠30°
Calculating Current Phasor
We know that the impedance of a circuit containing only resistance and inductance is given by:
Z = R + jωL
where R is the resistance, L is the inductance, and ω is the angular frequency given by:
ω = 2πf
where f is the frequency of the voltage.
Substituting the values of R, L, and ω, we get:
Z = 20 + j31.4
The current phasor can be calculated using Ohm's law:
I = V/Z
Substituting the values of V and Z, we get:
I = (150∠30°)/(20 + j31.4) = 5.3∠-24.9° A
R.M.S. Values in Rectangular Notation
The r.m.s. value of the voltage can be calculated using the formula:
Vrms = Vmax/√2
Substituting the value of Vmax, we get:
Vrms = 150/√2 = 106.1 volts
The r.m.s. value of the current can be calculated using the formula:
Irms = Imax/√2
where Imax is the maximum value of the current phasor.
Substituting the value of Imax, we get:
Irms = 5.3/√2 = 3.75 A
Therefore, the r.m.s. values of the voltage and current phasors in rectangular notation are:
V = 106.1 + j0 volts
I = 3.75 - j2.78 A
R.M.S. Values in Polar Notation
The r.m.s. values of the voltage and current phasors in polar notation can be calculated using the formula:
Vrms = |V|
Irms = |I|
where |V| and |I| are the magnitudes of the voltage and current phasors, respectively.
Therefore, the r.m.s. values of the voltage and current phasors in polar notation are:
|V| = 106.1 volts
|I| = 4.59 A
The angle of the current phasor can be calculated as:
θ = tan-1(Im/Re)
where Im and Re are the imaginary and real parts of the current phasor, respectively.
Substituting the values of Im and Re, we get:
θ
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COMPLEX NOTATION ; A voltage, v = 150sin(314t + 30�) volts, is maintained across a coil having a resistance of 20 Ω and an inductance of 0.1 H. Derive expressions for the r.m.s. values of the voltage and current phasors in: (a) rectangular notation; (b) polar notation. Draw the phasor diagram?
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COMPLEX NOTATION ; A voltage, v = 150sin(314t + 30�) volts, is maintained across a coil having a resistance of 20 Ω and an inductance of 0.1 H. Derive expressions for the r.m.s. values of the voltage and current phasors in: (a) rectangular notation; (b) polar notation. Draw the phasor diagram? for JEE 2025 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about COMPLEX NOTATION ; A voltage, v = 150sin(314t + 30�) volts, is maintained across a coil having a resistance of 20 Ω and an inductance of 0.1 H. Derive expressions for the r.m.s. values of the voltage and current phasors in: (a) rectangular notation; (b) polar notation. Draw the phasor diagram? covers all topics & solutions for JEE 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for COMPLEX NOTATION ; A voltage, v = 150sin(314t + 30�) volts, is maintained across a coil having a resistance of 20 Ω and an inductance of 0.1 H. Derive expressions for the r.m.s. values of the voltage and current phasors in: (a) rectangular notation; (b) polar notation. Draw the phasor diagram?.
COMPLEX NOTATION ; A voltage, v = 150sin(314t + 30�) volts, is maintained across a coil having a resistance of 20 Ω and an inductance of 0.1 H. Derive expressions for the r.m.s. values of the voltage and current phasors in: (a) rectangular notation; (b) polar notation. Draw the phasor diagram? for JEE 2025 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about COMPLEX NOTATION ; A voltage, v = 150sin(314t + 30�) volts, is maintained across a coil having a resistance of 20 Ω and an inductance of 0.1 H. Derive expressions for the r.m.s. values of the voltage and current phasors in: (a) rectangular notation; (b) polar notation. Draw the phasor diagram? covers all topics & solutions for JEE 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for COMPLEX NOTATION ; A voltage, v = 150sin(314t + 30�) volts, is maintained across a coil having a resistance of 20 Ω and an inductance of 0.1 H. Derive expressions for the r.m.s. values of the voltage and current phasors in: (a) rectangular notation; (b) polar notation. Draw the phasor diagram?.
Solutions for COMPLEX NOTATION ; A voltage, v = 150sin(314t + 30�) volts, is maintained across a coil having a resistance of 20 Ω and an inductance of 0.1 H. Derive expressions for the r.m.s. values of the voltage and current phasors in: (a) rectangular notation; (b) polar notation. Draw the phasor diagram? in English & in Hindi are available as part of our courses for JEE.
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COMPLEX NOTATION ; A voltage, v = 150sin(314t + 30�) volts, is maintained across a coil having a resistance of 20 Ω and an inductance of 0.1 H. Derive expressions for the r.m.s. values of the voltage and current phasors in: (a) rectangular notation; (b) polar notation. Draw the phasor diagram?, a detailed solution for COMPLEX NOTATION ; A voltage, v = 150sin(314t + 30�) volts, is maintained across a coil having a resistance of 20 Ω and an inductance of 0.1 H. Derive expressions for the r.m.s. values of the voltage and current phasors in: (a) rectangular notation; (b) polar notation. Draw the phasor diagram? has been provided alongside types of COMPLEX NOTATION ; A voltage, v = 150sin(314t + 30�) volts, is maintained across a coil having a resistance of 20 Ω and an inductance of 0.1 H. Derive expressions for the r.m.s. values of the voltage and current phasors in: (a) rectangular notation; (b) polar notation. Draw the phasor diagram? theory, EduRev gives you an
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