As we know that electrostatic force is a conservative force
so we can say by the condition of conservative force
here we can rearrange the above equation as
now integrate both sides
Now we know by the definition of work done by a force is given by
now work done by conservative force is given as
Now from above work done by electric field to move charge from one point to other is given as
so here work done is given as
so change in potential energy is given by work done
Answer:
The distance s of how far the ball will go at the highest setting = 2.25m
Explanation:
Let consider x to be the representative of the compression and the distance to be s
Recall that:
By cross multiplying
Thus, for the first setting
x = 1 , s = 0.25
for the second setting
x = 2, s = 1
1 = 0.25A + B --- (1)
4 = A + B ----- (2)
From (1); let B = 1 - 0.25A and substitute it into (2)
4 = A + 1 - 0.25 A
4 - 1 = A - 0.25 A
3 = 0.75 A
A = 3/0.75
A = 4
From (2)
4 = A + B
4 = 4 + B
B = 4 - 4
B = 0
Therefore, for the highest setting, where x = 3
Then :
will be:
3² = 4s + 0
9 = 4s
s = 9/4
s = 2.25 m
∴
The distance s of how far the ball will go at the highest setting = 2.25m
Explanation:
It is known that the relation between electric field and potential is as follows.
E =
And, formula to calculate the capacitance is as follows.
C =
=
= F
Hence, energy stored in a capacitor is as follows.
W =
V =
E =
=
=
Thus, we can conclude that electric field strength E inside the capacitor is .
