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QUESTION 1 a) The coil of generator is wounded with 100 turns on a square form. The mean area per turn is 1.6 x 10$^{-3}$ meter square. The coil is required to rotate in a uniform magnetic field of density 1.2 T and the generated maximum of e.m.f equal to 40V. i) Determine the speed of prime mover in revolution per minute (rpm) required to achieve the above specification. ii) Determine the expression of e.m.f induced in the coil. iii) Calculate the instantaneous value of e.m.f at t = 0.1s b) In the particular AC circuit with frequency 50Hz, given $v(t) = 25 \sin(\omega t + 27^\circ)V$ and $i(t) = 4.5 \sin(\omega t - 12^\circ)A$. Based on this expression of voltage and current, i) Sketch the waveforms of v(t) and i(t) in the single diagram/graph ii) Sketch the phasor diagram of v(t) and i(t) in the single diagram/graph iii) Calculate the $V_{p-p}$, $V_{ave}$, $V_{rms}$ & $I_{p-p}$, $I_{ave}$, $I_{rms}$ iv) Determine the phase relationships v) Determine the magnitude and phase angle of circuit impedance vi) Determine the instantaneous value of v(t) and i(t) at t = 0.5 seconds. Calculate the phase angle, $\theta$ at t = 0.5 seconds

          QUESTION 1
a) The coil of generator is wounded with 100 turns on a square form. The mean area per turn
is 1.6 x 10$^{-3}$ meter square. The coil is required to rotate in a uniform magnetic field of density
1.2 T and the generated maximum of e.m.f equal to 40V.
i) Determine the speed of prime mover in revolution per minute (rpm) required to
achieve the above specification.
ii) Determine the expression of e.m.f induced in the coil.
iii) Calculate the instantaneous value of e.m.f at t = 0.1s
b) In the particular AC circuit with frequency 50Hz, given $v(t) = 25 \sin(\omega t + 27^\circ)V$ and
$i(t) = 4.5 \sin(\omega t - 12^\circ)A$. Based on this expression of voltage and current,
i) Sketch the waveforms of v(t) and i(t) in the single diagram/graph
ii) Sketch the phasor diagram of v(t) and i(t) in the single diagram/graph
iii) Calculate the $V_{p-p}$, $V_{ave}$, $V_{rms}$ & $I_{p-p}$, $I_{ave}$, $I_{rms}$
iv) Determine the phase relationships
v) Determine the magnitude and phase angle of circuit impedance
vi) Determine the instantaneous value of v(t) and i(t) at t = 0.5 seconds. Calculate the
phase angle, $\theta$ at t = 0.5 seconds

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QUESTION 1
a) The coil of generator is wounded with 100 turns on a square form. The mean area per turn
is 1.6 x 10^-3 meter square. The coil is required to rotate in a uniform magnetic field of density
1.2 T and the generated maximum of e.m.f equal to 40V.
i) Determine the speed of prime mover in revolution per minute (rpm) required to
achieve the above specification.
ii) Determine the expression of e.m.f induced in the coil.
iii) Calculate the instantaneous value of e.m.f at t = 0.1s
b) In the particular AC circuit with frequency 50Hz, given v(t) = 25 sin(ω t + 27^∘)V and
i(t) = 4.5 sin(ω t - 12^∘)A. Based on this expression of voltage and current,
i) Sketch the waveforms of v(t) and i(t) in the single diagram/graph
ii) Sketch the phasor diagram of v(t) and i(t) in the single diagram/graph
iii) Calculate the Vp-p, Vave, Vrms Ip-p, Iave, Irms
iv) Determine the phase relationships
v) Determine the magnitude and phase angle of circuit impedance
vi) Determine the instantaneous value of v(t) and i(t) at t = 0.5 seconds. Calculate the
phase angle, θ at t = 0.5 seconds

Added by Samantha S.

University Physics with Modern Physics

Hugh D. Young 14th Edition

Instant Answer

Solved by Expert Ameer Said

01/05/2022

Step 1

6 × 10^(-3) m^2), B is the magnetic field density (1.2T), and ω is the angular velocity in rad/s. Rearranging the formula to solve for ω: ω = E_max / (NAB) Show more…

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QUESTION 1 a) The coil of generator is wounded with 100 turns on a square form. The mean area per turn is 1.6 imes 10^(-3) meter square. The coil is required to rotate in a uniform magnetic field of density 1.2T and the generated maximum of e.m.f equal to 40V. i) Determine the speed of prime mover in revolution per minute (rpm) required to achieve the above specification. ii) Determine the expression of e.m.f induced in the coil. iii) Calculate the instantaneous value of e.m.f at t=0.1s b) In the particular AC circuit with frequency 50Hz, given v(t)=25sin(omega t+27deg )V and i(t)=4.5sin(omega t-12deg )A. Based on this expression of voltage and current, i) Sketch the waveforms of v(t) and i(t) in the single diagram/graph ii) Sketch the phasor diagram of v(t) and i(t) in the single diagram/graph iii) Calculate the V_(p-p),V_(ave ),V_(rms )&I_(p-p),I_(ave ),I_(rms) iv) Determine the phase relationships v) Determine the magnitude and phase angle of circuit impedance vi) Determine the instantaneous value of v(t) and i(t) at t=0.5 seconds. Calculate the phase angle, heta at t=0.5 seconds QUESTION1 a The coil of generator is wounded with 100 turns on a square form. The mean area per turn is 1.6 x 10-3 meter square. The coil is required to rotate in a uniform magnetic field of density 1.2 T and the generated maximum of e.m.f equal to 40V. i) Determine the speed of prime mover in revolution per minute (rpm) required to achieve the above specification ii) iii) Determine the expression of e.m.f induced in the coil. Calculate the instantaneous value of e.m.f at t=O.ls b) In the particular AC circuit with frequency 50Hz, given v(t)=25sin(t+27V and it)=4.5sin(t -12)A.Based on this expression of voltage and current, i) ii) Sketch the waveforms of v(t) and i(t)in the single diagram/graph Sketch the phasor diagram ofv(t) and i(t) in the single diagram/graph iii) iv) v) vi) Calculate the Vp-p, Vave,Vrms & Ip-p, Iave, Irms Determine the phase relationships Determine the magnitude and phase angle of circuit impedance Determine the instantaneous value of v(tand itat t = 0.5 seconds. Calculate the phase angle, at t =0.5 seconds

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