1) A spherical surface completely surrounds a collection of charges. Find the electric flux through the surface if the collection consists of a single +3.93E-6 C charge.
2) A plate carries a charge of -2.52μC, while a rod carries a charge of +2.19μC. How many electrons must be transferred from the plate to the rod, so that both objects have the same charge.
3) Two charges are placed on the x axis. One of the charges (q1 = +8.06 μC) is at x1 = +2.79 cm and the other (q2 = -21.8 μC) is at x1 = +8.94 cm. Calculate the net electric field at x = 0 cm.
4)Two tiny conducting spheres are identical and carry charges of -19.8 μC and +49.8 μC. They are separated by a distance of 2.52 cm. What is the magnitude of the force that each sphere experiences?
Can somebody please help me! i got one try on each left... they're annoying me, i know im making little mistakes.. if you want me to show work i will!. here is what i did on question 4) keep getting this answer -1.395 (which is wrong) and i used F = 8.99E9 *Q1*Q2/r²
IDK WHATS WRONG!
THANK YOU SOO MUCH TO WHO EVER ANSWERS THIS!!
On number 4, just looking at your answer, order of magnitude, you have to be wrong.
F=8.99E9*19.8E-6*49.8E-6/(2.52E-2)^2 which is about 10,000 times larger than your answer
I would suggest on the other three, do them on paper, check the orders of magnitudes, then verify it on the calc.
I'd be happy to help you with these physics problems. Let's go through each question one by one and explain how to solve them.
1) To find the electric flux through a spherical surface surrounding a charge, you can use Gauss's Law. Gauss's Law states that the electric flux through a closed surface is proportional to the net electric charge enclosed by that surface.
In this case, you have a single +3.93E-6 C charge enclosed by the spherical surface. The electric flux (Φ) is given by the equation Φ = Q_enclosed / ε₀, where Q_enclosed is the charge enclosed by the surface and ε₀ is the electric constant.
So in this case, the electric flux is Φ = (3.93E-6 C) / ε₀.
2) The goal is to transfer some electrons from the plate to the rod so that both objects have the same charge. To determine the number of electrons transferred, we need to know the elementary charge, which is the charge of a single electron.
The elementary charge is approximately 1.6E-19 C. To calculate the number of electrons transferred, we need to find how much charge needs to be transferred.
Let's say x electrons are transferred from the plate to the rod. The charge on the plate is -2.52μC, so the charge on the rod after the transfer is (+2.19μC + x * 1.6E-19 C).
Setting this equal to the charge on the plate, we have -2.52μC = (+2.19μC + x * 1.6E-19 C). Solving for x will give us the number of electrons transferred.
3) To calculate the net electric field at x = 0 cm, we need to consider the electric field contributions from each individual charge.
The electric field (E) created by a point charge is given by the equation E = k * (q / r²), where k is the electrostatic constant, q is the charge, and r is the distance from the charge.
In this problem, there are two charges. The electric field created by q₁ at x = 0 cm will be directed to the right, while the electric field created by q₂ at x = 0 cm will be directed to the left. To find the net electric field, we need to subtract the electric field created by q₂ from the electric field created by q₁.
The net electric field at x = 0 cm is given by E_net = (k * q₁ / r₁²) - (k * q₂ / r₂²).
4) The force between two charges can be calculated using Coulomb's Law. Coulomb's Law states that the force (F) between two charges is proportional to the product of the charges and inversely proportional to the square of the distance between them.
The magnitude of the force between two charges is given by the equation F = k * |Q₁ * Q₂| / r², where k is the electrostatic constant, Q₁ and Q₂ are the charges, and r is the distance between them.
In this problem, you have two charges (-19.8 μC and +49.8 μC) separated by a distance of 2.52 cm. Plugging in the values into the equation, you should get the correct magnitude of the force.
I hope this explanation helps you understand how to approach these physics problems. If you still have any questions or need further assistance, please let me know!