Neco Model Questions Vol1 2020 Physics Question 30

Practice objective / multiple choice question 30 from the 2020 Neco Model Questions Vol1 Physics examination.

Neco Model Questions Vol1 2020 Physics Objective / Multiple Choice Hard Difficulty
Question 30 NECO_MODEL_QUESTIONS_VOL1 • 2020 • PHYSICS • objective

A single‑turn rectangular coil of width \(10\ \text{cm}\) and length \(20\ \text{cm}\) rotates about an axis along its 10 cm side in a uniform magnetic field of magnitude \(B = 0.5\ \text{T}\). The coil rotates at a constant angular speed \(\omega = 300\ \text{rad s}^{-1}\).\n\n(a) Derive the expression for the instantaneous induced emf and state its maximum value.\n(b) The coil has an internal resistance of \(2\ \Omega\) and is connected to an external load resistor \(R\). Find the value of \(R\) that will draw the maximum average power from the coil and compute that maximum average power.\n(c) With the coil's internal resistance as given, what is the average power dissipated in the coil itself when the load resistance is set to the value found in part (b)?

Answer Options

A. a) \\varepsilon(t)=0.5\\,BA\\omega\\sin(\\omega t), \\varepsilon_{max}=1.5\\ \\text{V}; b) R=2\\ \\Omega, \\; P_{max}=1.125\\ \\text{W}; c) P_{coil}=1.125\\ \\text{W}
B. a) \\varepsilon(t)=BA\\omega\\sin(2\\omega t), \\varepsilon_{max}=3\\ \\text{V}; b) R=1\\ \\Omega, \\; P_{max}=4.5\\ \\text{W}; c) P_{coil}=4.5\\ \\text{W}
C. a) \\varepsilon(t)=BA\\omega\\cos(\\omega t), \\varepsilon_{max}=3\\ \\text{V}; b) R=4\\ \\Omega, \\; P_{max}=1.125\\ \\text{W}; c) P_{coil}=1.125\\ \\text{W}
Correct Answer D. a) \varepsilon(t)=BA\omega\sin(\omega t), \varepsilon_{max}=3\ \text{V}; b) R=2\ \Omega, \; P_{max}=2.25\ \text{W}; c) P_{coil}=2.25\ \text{W}
Correct Answer
D
Correct Option:
a) \varepsilon(t)=BA\omega\sin(\omega t), \varepsilon_{max}=3\ \text{V}; b) R=2\ \Omega, \; P_{max}=2.25\ \text{W}; c) P_{coil}=2.25\ \text{W}

About This Question

This is Neco Model Questions Vol1 2020 Physics Question 30. It is one of the objective questions from the 2020 Neco Model Questions Vol1 Physics examination.

Difficulty level: Hard .

View More Neco Model Questions Vol1 2020 Physics Questions More Neco Model Questions Vol1 Practice Questions Back to Questions

Master the Exam!

You've seen a preview, but there are thousands more questions plus AI tutor to break down complex solutions.

Unlock Full Access Available for Android & Windows
Chat with Support