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3 years ago

What are the components of the vector with a magnitude of 65.0 and a direction of 101.7°

Physics

2 answers:

artcher [175]3 years ago

8 0

<span>The correct answer is (63.6, -13.2)

</span>

soldier1979 [14.2K]3 years ago

3 0

Answer:

The components of the vector = (-13.18i, 63.65j)

Explanation:

Given;

magnitude of magnetic field strength, B = 65.0

direction of the magnetic field strength, θ = 101.7°

The vector has both y-component and x-component

The y-component of the vector is given as, Bsinθ,

The x-component of the vector is given as, Bcosθ,

The components of the vector = (x, y) = ( Bcosθ, Bsinθ)

The components of the vector = ( 65cos101.7°, 65sin101.7°)

The components of the vector = (-13.18i, 63.65j)

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Read 2 more answers

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madam [21]

Complete Question

The complete question is shown on the first uploaded image

Answer:

The maximum emf is $\epsilon_{max}= 26.8 V$

The emf induced at t = 1.00 s is $\epsilon = 24.1V$

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Explanation:

From the question we are told that

The number of turns is N = 44 turns

The length of the coil is $l = 15.0 cm = \frac{15}{100} = 0.15m$

The width of the coil is $w = 8.50 cm =\frac{8.50}{100} =0.085 m$

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The angular speed is $w = 64.0 rad/s$

Generally the induced emf is mathematically represented as

$\epsilon = \epsilon_{max} sin (wt)$

Where $\epsilon_{max}$ is the maximum induced emf and this is mathematically represented as

$\epsilon_{max} = N\ B\ A\ w$

Where $\o$ is the magnetic flux

N is the number of turns

A is the area of the coil which is mathematically evaluated as

$A = l *w$

Substituting values

$A = 0.15 * 0.085$

$= 0.01275m^2$

substituting values into the equation for maximum induced emf

$\epsilon_{max} = 44* 745 *10^{-3} * 0.01275 * 64.0$

$\epsilon_{max}= 26.8 V$

given that the time t = 1.0sec

substituting values into the equation for induced emf $\epsilon = \epsilon_{max} sin (wt)$

$\epsilon = 26.8 sin (64 * 1)$

$\epsilon = 24.1V$

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$\epsilon_{max} = \frac{d \o}{dt}|_{max}$

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