1- A 40.0cm diameter loop is turned to the position where the largest flux is handled in a uniform electric field. In this position, the flux is obtained as 5.20 × 10 ^ 5 N.m ^ 2/c Find the twist of the electric field.
2- An electron was released from rest in a uniform electric field of 5.90 × 10 ^ 3 V / m. How much potential awareness (V) will pass after 1cm movement, and what is the time of the electron in position (m / s)?
[m (e) = 9.11 × 10 ^ -31 kg, | q (e) | = 1.60 × 10 ^ -9 C.]
To answer these questions, we need to use the formulas related to electric flux and electric potential.
1. To find the twist of the electric field, we can use the formula for electric flux:
Flux = Electric field * Area * Cos(θ)
Where:
Flux is the electric flux (given as 5.20 × 10^5 N.m^2/C)
Electric field is the strength of the electric field (unknown)
Area is the area of the loop (π*(diameter/2)^2 in this case)
Rearranging the formula, we get:
Electric field = Flux / (Area * Cos(θ))
Substituting the given values, we have:
Electric field = (5.20 × 10^5 N.m^2/C) / (π*(40.0cm/2)^2)
Solving this equation will give us the value of the electric field, which corresponds to the twist of the electric field.
2. To find the potential difference and time taken by the electron, we can use the following formulas:
Electric potential difference (V) = Electric field * Distance
Where:
Electric field is the strength of the electric field (given as 5.90 × 10^3 V/m)
Distance is the displacement of the electron (given as 1 cm)
Substituting the given values, we have:
Electric potential difference (V) = (5.90 × 10^3 V/m) * (1 cm)
Next, we can calculate the time the electron takes to travel the given distance using the formula:
Time (t) = Distance / Velocity
Where:
Distance is the displacement of the electron (given as 1 cm, convert to meters)
Velocity is the velocity of the electron (unknown)
To find the velocity of the electron, we can use the formula for electric force:
Force = Mass * Acceleration
Where:
Force is the force exerted on the electron (given as |q(e)| * Electric field)
Mass is the mass of the electron (given as 9.11 × 10^ -31 kg)
Acceleration is the acceleration of the electron (unknown)
Rearranging the formula, we have:
Acceleration = Force / Mass
Since the force is equal to the charge of the electron multiplied by the electric field, we have:
Acceleration = (|q(e)| * Electric field) / Mass
Substituting the given values, we can calculate the acceleration of the electron. Once we have the acceleration and distance, we can find the time using the equation mentioned earlier.
By following these steps and performing the calculations, you can find the answers to both questions.