Question

Scientists in the laboratory create a uniform electric field e⃗ = 6. 0×105 k^v/m in a region of space where b⃗ =0⃗

Answer 1

Scientist in the laboratory create uniform electric field.

PART A: The electric field in rocket frame is  (0,0,  6.0 × 10 ⁵).

PART B: The magnetic field in the rocket frame is  7.3 × 10⁻⁶ j∧  .

What is uniform electric field?

The electric field whose strength is not changing with respect to time is called uniform magnetic field.

The electric field is 6.0 × 10 ⁵ k^v/m and the magnetic field is zero.

E' = E + (V×B)

    = 6.0 × 10 ⁵ + (1.1 × 10⁶ × 0)

E' = 6.0 × 10 ⁵ k∧

(Ex , Ey, Ez) = (0,0,  6.0 × 10 ⁵)

The new magnetic field is represented as

B' = B - 1 /c²(v × E)

   =0 - 1 / (3× 10⁸)²(1.1 × 10⁶ i∧ × 6.0 × 10 ⁵k∧ )

B' = 7.3 × 10⁻⁶ j∧

PART A: The electric field in rocket frame is  (0,0,  6.0 × 10 ⁵).

PART B: The magnetic field in the rocket frame is 7.3 × 10⁻⁶ j∧ .

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