Physics, 25.02.2020 06:15 rehooreh14

A conducting rod is moving through a magnetic field, as in the drawing. The magnetic field strength is 0.65 T, and the speed of the rod is 2.3 m/s. Suddenly, the field strength decreases to 0.48 T. To what value must the speed v of the rod be adjusted to reestablish the emf induced between the ends of the rod at its initial value?

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Answer from: Lunablum

Explanation:

The given data is as follows.

Magnetic field strength (B) = 0.65 T

Speed (v) = 2.3 m/s

Induced emf (E) = ?

Formula for emf induced at the ends of the rod of length L which is moving with a speed of v is as follows.

E = BvL

Putting the given values into the formula as follows.

$E_{1} = BvL$

= $0.65 T \times 2.3 m/s \times L$

= 1.495 L .............. (1)

When magnetic field is changed to $B_{2}$ = 0.48 T

Now, we assume that the speed be $v_{2}$ to get the emf $E_{2} = E_{1}$ .

Then, $0.48 T \times v_{2} \times L = 0.65 T \times 2.3 m/s \times L$

$v_{2}$ = 3.11 m/s

Therefore, we can conclude that the speed v of the rod be adjusted to reestablish the emf induced between the ends of the rod at its initial value is 3.11 m/s.

Answer from: Quest

the velocity you are looking for is made up of two parts: horizontally velocity, vh, and its vertical velocity, vv. the actual velocity of the ball will be these two parts added together, and because velocity is a vector then they will need to be added vectorially.

neglecting air resistance etc etc.,

the horizontal velocity component will be constant (because there is no accelerating force in the horizontal direction.

vh = 8 ms-1

the vertical velocity component has an accelerating force: 'g'.

using v = u +at where a = g = 9.81 ms-2.

the vertical component of velocity, vv = 0 + gt = vv =9.81 x 2

vv = 19.62 ms-1 . the zero appears because the virtical component of velocity at time t=0 is zero. remember, the ball was thrown horizontally.

how fast it will be moving (it actual path (being a parabola )) will be the vector sum of these two.

adding vectorally gives: -

v = sqr root (8^2 + 19.62^2) = sqr root(64+384.9) = 21.18 or 21.2 ms-1

Answer from: Quest

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A conducting rod is moving through a magnetic field, as in the drawing. The magnetic field strength...

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