A positive charge Q is at point A, some distance r from a dipole with charges +q separated by a distance a. All of the charges lie on a line (i.e. the charge is on the dipole's axis.) The distance r >> a throughout this problem. A b+ b- r a (a) What is the net torque on the dipole in this arrangement? What is the torque if the charge Q is placed at point B, the same distance r from the center of the dipole but on the perpendicular bisector (so the vector r is perpendicular to the separation a)? For the torque, if it is not zero, give the magnitude in terms of k, Q, q, a,r and for direction, describe the sense of rotation of the dipole. (b) Find an expression, in terms of the quantities defined in the problem statement and universal constants, for the force on the charge Q when it is at location A. With minimal additional work, what is the force on the dipole?
A positive charge Q is at point A, some distance r from a dipole with charges +q separated by a distance a. All of the charges lie on a line (i.e. the charge is on the dipole's axis.) The distance r >> a throughout this problem. A b+ b- r a (a) What is the net torque on the dipole in this arrangement? What is the torque if the charge Q is placed at point B, the same distance r from the center of the dipole but on the perpendicular bisector (so the vector r is perpendicular to the separation a)? For the torque, if it is not zero, give the magnitude in terms of k, Q, q, a,r and for direction, describe the sense of rotation of the dipole. (b) Find an expression, in terms of the quantities defined in the problem statement and universal constants, for the force on the charge Q when it is at location A. With minimal additional work, what is the force on the dipole?
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Answer all parts of the physics problem please
Transcribed Image Text:A positive charge Q is at point A, some distance r from a dipole with charges ±q separated by a
distance a. All of the charges lie on a line (i.e. the charge is on the dipole's axis.) The distance
r >> a throughout this problem.
В
A
b+ b-
r
(a) What is the net torque on the dipole in this arrangement? What is the torque if the charge Q
is placed at point B, the same distance r from the center of the dipole but on the perpendicular
bisector (so the vector r is perpendicular to the separation a)? For the torque, if it is not zero,
give the magnitude in terms of k, Q, q, a,r and for direction, describe the sense of rotation of
the dipole.
(b) Find an expression, in terms of the quantities defined in the problem statement and universal
constants, for the force on the charge Q when it is at location A. With minimal additional work,
what is the force on the dipole?
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