Actually, I have 3 questions to solve. I know the 1st one requires Coulomb's constant, but I just can't get the formula to work. Ditto for the formulas for the other 2 questions.
1) A 6.3 μC point charge and a −1.7 μC point charge are separated by a distance of 0.00023 m. What is the electric potential energy of this system?
2) A charged particle moving at a speed of 175 m/s due east, through a magnetic field of 5.00 mT pointing straight up toward the sky, experiences a force of 4.25 μN directed due north. What is the charge on the particle? Be sure to indicate the sign.
3) A wire etched onto a computer chip carries a current of 0.000000041 A. In 1.8 milliseconds, how many electrons flow past a point on the wire?
I finally got #3!
Sure! Let's go through each question step by step and break down the formulas involved so you can understand how to solve them.
1) Electric Potential Energy:
The formula for electric potential energy is given by:
U = (k * q1 * q2) / r
In this case, you have two point charges, q1 and q2, with a distance of separation, r. The constant k is Coulomb's constant, which has a value of approximately 8.99 x 10^9 N m^2/C^2.
To calculate the electric potential energy, plug in the values given:
q1 = 6.3 μC (1 μC = 1 x 10^-6 C)
q2 = -1.7 μC
r = 0.00023 m
k = 8.99 x 10^9 N m^2/C^2
Multiply the charges and the constant, then divide the result by the distance to get the electric potential energy.
2) Charge on a Particle:
The formula for the force on a charged particle moving in a magnetic field is given by:
F = q * v * B
Where F is the force, q is the charge, v is the velocity, and B is the magnetic field strength.
In this case, you have the force, velocity, and magnetic field strength. The goal is to find the charge, q.
Rearranging the formula, the charge can be calculated as:
q = F / (v * B)
Substitute the given values to calculate the charge.
3) Number of Electrons:
To determine the number of electrons that flow past a point on the wire, you need to use the relationship between current, time, and the charge of an electron.
The formula to calculate the charge is given by:
Q = I * t
Where Q is the charge, I is the current, and t is the time.
Since each electron carries a charge of 1.6 x 10^-19 C, divide the charge (Q) calculated by the charge per electron to get the number of electrons.
Now, armed with these explanations, you can attempt to solve each question step by step using the provided formulas and given values.