Work needed to move a point charge

AI Thread Summary
To calculate the work needed to move a +0.50μC test charge between two +30μC charges, the electric potential at both positions must be determined. The potential at the midpoint and 10cm closer to one charge is influenced by both +30μC charges. The work done can be calculated using the formula W = qV, where V is the electric potential difference between the two points. The correct answer for the work required is 1.08 Joules. Understanding the contributions of both charges is essential for accurate calculations.
TrpnBils
Messages
52
Reaction score
0

Homework Statement



A +30μC charge is placed 32cm from an identical charge. How much work would be required to move a +0.50μC test charge from a point midway between them to a point 10cm closer to one of the charges.

Homework Equations


W = qV
V = kQ/r


The Attempt at a Solution



Tried solving with +30μC as the Q value, r as 0.32m, and q as the test charge but I'm getting this wrong. The answer is 1.08 Joules. I know that the work done = ΔPE between the two locations, but I'm not sure how to calculate this given that BOTH charges on the ends are pushing it away...
 
Physics news on Phys.org
TrpnBils said:

Homework Statement



A +30μC charge is placed 32cm from an identical charge. How much work would be required to move a +0.50μC test charge from a point midway between them to a point 10cm closer to one of the charges.

Homework Equations


W = qV
V = kQ/r

The Attempt at a Solution



Tried solving with +30μC as the Q value, r as 0.32m, and q as the test charge but I'm getting this wrong. The answer is 1.08 Joules. I know that the work done = ΔPE between the two locations, but I'm not sure how to calculate this given that BOTH charges on the ends are pushing it away...
What is the electric potential, due to the two +30μC charges, at a point midway between them and at a point 10cm closer to one of the charges.
 
Thread 'Collision of a bullet on a rod-string system: query'

Thread 'Collision of a bullet on a rod-string system: query'

In this question, I have a question. I am NOT trying to solve it, but it is just a conceptual question. Consider the point on the rod, which connects the string and the rod. My question: just before and after the collision, is ANGULAR momentum CONSERVED about this point? Lets call the point which connects the string and rod as P. Why am I asking this? : it is clear from the scenario that the point of concern, which connects the string and the rod, moves in a circular path due to the string...
View full post »
Thread 'A cylinder connected to a hanged mass'

Thread 'A cylinder connected to a hanged mass'

Let's declare that for the cylinder, mass = M = 10 kg Radius = R = 4 m For the wall and the floor, Friction coeff = ##\mu## = 0.5 For the hanging mass, mass = m = 11 kg First, we divide the force according to their respective plane (x and y thing, correct me if I'm wrong) and according to which, cylinder or the hanging mass, they're working on. Force on the hanging mass $$mg - T = ma$$ Force(Cylinder) on y $$N_f + f_w - Mg = 0$$ Force(Cylinder) on x $$T + f_f - N_w = Ma$$ There's also...
View full post »

Similar threads

Work done to insert a point charge 𝑞 at the center of a conducting sphere
Replies
12
Views
1K
What is the magnitude of the field at point R?
Replies
5
Views
2K
Point charge with very thin metal sheet along a spherical surface
Replies
21
Views
2K
Find the amount of work to move a particle from point A to B
Replies
4
Views
1K
Why Is Work Positive When Done Against the Electric Field?
Replies
22
Views
3K
Work to bring a charge to the center of two quarter circles
Replies
4
Views
1K
Find the magnitude of the electric field at point P
Replies
5
Views
2K
Work done by moving a point charge
Replies
7
Views
3K
Potential generated by a point charge in a isotropic medium
Replies
1
Views
2K
Uniform distribution of charge and work needed
Replies
12
Views
3K

Hot Threads

Recent Insights

Back
Top