Answer:
θ = 4.438 * 10^-18 C / m^2
x = 2.0 m
Explanation:
Given:
V_1 = 420 m/s
Δ r = 2.0 m
m_e = 9.109 *10^-31 kg
q_e = 1.602 * 10^-19 C
ε_o = 8.85 * 10^-12
part a
Energy Principle:
E_k,1 - F_e*Δ r = 0
Electric Field strength of infinite sheet
E = θ / 2*ε_o
0.5*m_e* V_1^2 - E*q_e*Δ r = 0
0.5*m_e* V_1^2 - θ*q_e*Δ r / 2*ε_o = 0
θ = (m_e*ε_o* V_1^2) / q_e*Δ r
θ = (9.109*10^-31*8.85*10^-12* 420^2) / 1.602*10^-12*2
θ = 4.438 * 10^-18 C / m^2
part b
Since the Volt potential is constant of a infinite long uniform charge distribution:
0.5*m_e* V_1^2 - E*q_e*Δ r = 0
r_1 = x
r_2 = 0
0.5*m_e* V_1^2 - θ*q_e*x / 2*ε_o = 0
x = (m_e*ε_o* V_1^2) / q_e*θ
x = (9.109*10^-31*8.85*10^-12* 420^2) / 1.602*10^-12*4.438 * 10^-18
x = 2 . 0 m
Answer:
4.2×10⁷ m/s
Explanation:
L = length observed by an observer
L₀ = Proper length
v = Velocity of the rocket ship
Length contraction formula

The speed of the ship would be 4.2×10⁷ m/s
Answer:
8.9*10^6 V/m
Explanation:
The expression for electric field strength E is given as

where V= voltage
d= distance of separation
Given data

substituting our given data into the electric field strength formula we have

Explanation:
It is given that,
Length of wire, l = 0.53 m
Current, I = 0.2 A
(1.) Approximate formula:
We need to find the magnitude of the magnetic field made by the current at a location 2.0 cm from the wire, r = 2 cm = 0.02 m
The formula for magnetic field at some distance from the wire is given by :


B = 0.000002 T

(2) Exact formula:


B = 0.00000199 T
or
B = 0.000002 T
Hence, this is the required solution.