Use the following constants if necessary. Coulomb constant, k=8.987×109N⋅m2/C2. Vacuum permittivity, ϵ0=8.854×10−12F/m. The magnitude of the Charge of one electron, e=−1.60217662×10−19C. Mass of one electron, me=9.10938356×10−31kg. Unless specified otherwise, each symbol carries its usual meaning. For example, μC means microcoulomb. Consider two charges q1=32e and q2=34e at positions (−20,50,44) and (36/√3, 36/√2,−31) respectively where all the coordinates are measured on the scale of 10−9m or nanometers. If the position vector of the charge q1 is r1 and charge q2 is r2. Note: the second set of coordinates will read as thirty-six by root 3, thirty-six by root 2 and negative thirty-one. Now consider another charge q3=−12e is in the xyz system positioned at (−37/√3, 41/√2, −22). [Note: The coordinates will be read as negative thirty-seven by root 3, forty-one by root 2 and negative 22. a) Calculate the x, y and z components of the net force acting on q1 and q2. b) Calculate the x, y and z components of the net electric field at the position of q3 due to q1 and q2 charges. Note that, you cannot calculate electric field of q3 at it's own position.

Question

Use the following constants if necessary. Coulomb constant, k=8.987×109N⋅m2/C2. Vacuum permittivity, ϵ0=8.854×10−12F/m. The magnitude of the Charge of one electron, e=−1.60217662×10−19C. Mass of one electron, me=9.10938356×10−31kg. Unless specified otherwise, each symbol carries its usual meaning. For example, μC means microcoulomb.

Consider two charges q1=32e and q2=34e at positions (−20,50,44) and (36/√3, 36/√2,−31) respectively where all the coordinates are measured on the scale of 10−9m or nanometers. If the position vector of the charge q1 is r1 and charge q2 is r2.

Note: the second set of coordinates will read as thirty-six by root 3, thirty-six by root 2 and negative thirty-one.

Now consider another charge q3=−12e is in the xyz system positioned at (−37/√3, 41/√2, −22). [Note: The coordinates will be read as negative thirty-seven by root 3, forty-one by root 2 and negative 22.

a) Calculate the x, y and z components of the net force acting on q1 and q2.

b) Calculate the x, y and z components of the net electric field at the position of q3 due to q1 and q2 charges. Note that, you cannot calculate electric field of q3 at it's own position.