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Points A and B have electric potentials of 332 V and 149
Chapter 20, Problem 16P(choose chapter or problem)
Problem 16P
Points A and B have electric potentials of 332 V and 149 V, respectively. When an electron released from rest at point A arrives at point C, its kinetic energy is KA. When the electron is released from rest at point B, however, its kinetic energy when it reaches point C is KB = 2KA. What are (a) the electric potential at point C and (b) the kinetic energy KA?
Questions & Answers
QUESTION:
Problem 16P
Points A and B have electric potentials of 332 V and 149 V, respectively. When an electron released from rest at point A arrives at point C, its kinetic energy is KA. When the electron is released from rest at point B, however, its kinetic energy when it reaches point C is KB = 2KA. What are (a) the electric potential at point C and (b) the kinetic energy KA?
ANSWER:
Step 1 of 2:-
a)
The electric potential at point A is 332 V.
The electric potential at point B is 149 V.
When the electron released from A, it has a kinetic energy of at point C.
When the electron released from B, it has a kinetic energy of at point C.
But .
From the conservation of energy,
-----------(1)
--------------(2)
And
-----------(3)
----------------(4)
Now, from equation (2) and (4),
So, by putting the above value in equation (1),
.
So, the potential at point C will be 515 V.