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The figure shows the electric and magnetic fields in frame A. A rocket in frame B travels parallel to one of the axes of the A coordinate system. Along which axis must the rocket travel, and in which direction, in order for the rocket scientists to measure (a) BB>BA(b) BB=BAand (c) BB<BA?

Short Answer

Expert verified

(a) BB>BA: Along the -X direction.

(b) BB=BA: Along either +Y axis or -Y axis.

(c) BB<BA: Along the +X direction.

Step by step solution

01

Part (a) Step 1 : Given information:

We have given thatBB>BA

02

Part (a) Step 2 : Explanation

It is known that:E→=v→×B→.For BB>BA; The direction of the electric field in the figure is upward. To make the larger magnetic field in frame B, The rocket must travel perpendicular to EA→. The rocket will travel along negative X direction.

03

Part (b) Step 1: Given information:

We have given thatBB=BA

04

Part (b) Step 2: Explanation:

In order to calculate BB=BA; The rocket must travel parallel to the direction of the electric field. Therefore, along the positive or negative Y axes.

05

Part (c) Step 1: Given information:

We have given thatBB<BA

06

Part (c) Step 2: Explanation:

To calculate BB<BA , Keeping in mind the upward direction of the magnetic field; The rocket must travel perpendicular to EA→and away from it. Therefore, Along the Positive X axis.

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