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3 years ago

The force on a current-carrying wire is minimum when the current is moving at what angle to the magnetic field?

Physics

1 answer:

hammer [34]3 years ago

5 0

Answer:

Option A. 10 degrees

Explanation:

When a charged particle is placed magnetic field, it will possess magnetic force. The force acting on the particle is given by :

$F=ilB\sin\theta$

i and l are current and length of wire

Here,

$\theta$ is the angle between velocity and magnetic field.

The force is minimum when the value of $\sin\theta$ is minimum.

$\sin(10)=0.17\\\\\sin(30)=0.5\\\\\sin(45)=0.707\\\\\sin(90)=1$

It is clear that the value of sin(10) is minimum out of all other angles. So, the force on a current-carrying wire is minimum when the current is moving at what angle of 10 degrees to the magnetic field

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Arte-miy333 [17]

Answer:

1) 3.66 s

2) 124.44 m

3) 3.12 s

Explanation:

Let's start by first listing down the information in the question.

Red Car : 34 m/s

Blue Car: 28 m/s

Distance between them : 22 m

The difference in speed between the cars is: 34 - 28 = 6 m/s

This means that the red car is catching up to the blue car at a speed of 6 m/s.

1) We can solve this by just dividing the distance by the difference in speed. This becomes: $\frac{Distance}{Speed}= \frac{22}{6} = 3.66$

Thus it takes 3.66 seconds for the red car to catch up to the blue car.

2) We know from (1) that it took 3.66 seconds for the red car to catch up. Since the speed it was travelling at is constant, we only need to multiply it by the time from (1) to get the distance.

This becomes: $Speed * Time = 34 * 3.66 = 124.44$

Thus the red car travels 124.44 m before catching up to the blue car.

3) If the red car starts to accelerate the moment we see it, the time taken to get to the blue car will be less than before. We can find this in a simple way.

We can use the motion equation : $s = u*t + \frac{1}{2}(a * t^2)$

Here s = 22 m

We can take u as the difference in speed. u = 6 m/s

Acceleration a = (2/3) m/s^2

Substituting the these into the equation we get:

$22 = 6t + \frac{1}{2}(\frac{2}{3}t^2)$

Solving this for the variable 't' using the quadratic formula we get the following two answers:

t1 = 3.12 s

t2 = - 21.12 s

Since t2 is not possible, the answer is t1. This means it takes 3.12 seconds for the red car to catch up to the blue.

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