Professor Smith has a device with which he can create an empty, pocket universe.

ID: 3160881 • Letter: P

Question

Professor Smith has a device with which he can create an empty, pocket universe. While this is ordinarily for testing "doomsday weapons", he can also use it to satisfy some idealized tests of electric fields and potentials. Creating one such universe, he places one static, unmovable charge of +1.11 x 10^-10 C in the very center, thus defining the origin of coordinates. The electric potential due to this charge at a point 1 m away in the positive x-direction is 1 V. What is the potential at 1 m away in the negative y-direction? He then takes a movable particle with mass 4 micro-grams and charge of +1 Coulomb and places it at a point 1 m away in the positive x-direction. How much energy is stored in this configuration (assume that the zero of potential energy is at infinity)?

Please answer with complete sentences and full explanation thank you in advance. Professor Smith has a device with which he can create an empty, pocket universe. While this is ordinarily for testing "doomsday weapons", he can also use it to satisfy some idealized tests of electric fields and potentials. Creating one such universe, he places one static, unmovable charge of +1.11 x 10^-10 C in the very center, thus defining the origin of coordinates. The electric potential due to this charge at a point 1 m away in the positive x-direction is 1 V. What is the potential at 1 m away in the negative y-direction? He then takes a movable particle with mass 4 micro-grams and charge of +1 Coulomb and places it at a point 1 m away in the positive x-direction. How much energy is stored in this configuration (assume that the zero of potential energy is at infinity)?

Please answer with complete sentences and full explanation thank you in advance.

Please answer with complete sentences and full explanation thank you in advance.

Explanation / Answer

Here ,

for the charge , q = 1.11 *10^-10 C

Now , at the distance 1 m in the negative y direction

as potential = k * q/r

hence , the potential is same for same distances

the potential at 1 m away in the negative y-direction is also 1 V

Now, for the energy stored in the configuration

energy stored in the configuration = 9 *10^9 * 1.11 *10^-10 * 1/1

energy stored in the configuration = 1 J

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Professor Smith has a device with which he can create an empty, pocket universe.

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