A -3 microcoulomb charge is at the origin and a +4 microcoulomb charge is at a distance of x=2m away. Find the point between the charges where the voltage is 0.
let the point be x ,
then , as due to a point charge , potential is given as
V = KQ/d
Here, at the point x
K*(-3/x + 4/(2-x)) = 0
then
4x = 6 - 3x
x = 6/7
x = 0.857 m
the point where V = 0 is x = 0.857 m
electric potential due to a point charge is given by V =
KQ/r
wjhere Q is charge and Ris distance
so here
let V be zero at xunits fron Q1
so at this point
V1 = V2
KQ/(x) = Kq2/(2-x)
2-x/x = 4/3 = 1.333
2-x = 1.33x
x = 2/2.66
x = 0.857 m or 85.7 cm to the right of Q1 net V is zero
A -3 microcoulomb charge is at the origin and a +4 microcoulomb charge is at a...
3. A positive charge of 3 uC is at the origin. A negative charge with the same magnitude is 8 m away along the x direction. (a) What are the magnitude and direction of the electric fieldat the points between the two charges, 2, 4, and 6 m from the positive charge? (b) What is the electric potential at each of these three points? (The reference point, where V 0, is infinitely far away.)
Two part charges lie on the X axis. The charge of +6.2 microcoulomb is at the origin, and a charge of -9.5 microcoulomb is located at x=12.0cm. What is the net electric field at x=4cm.
1. A point charge +Q is located at the origin, and a point charge -Q is located at (x,y) = (0,L). (a) Find the electric field at point P, which is a distance L away from both +Q and -Q, as shown in the diagram. Express your answer in unit vector notation using the coordinate system given. (b) A point charge -2Q is placed at point P. Find the Coulomb force on the charge -2Q due to the other two...
6) A 5nC charge is placed at the origin of our coordinate system. There are three other charges; 5C located 3m in the positive i direction, 2C located 2m in the negative i direction, and -4C located 5m in the positive j direction. What is the net force acting on the 5nC charge? Remember that force is a vector, so your answer must include magnitude and direction. Component form is acceptable. 7) There are two charges, one +2C, the other...
A point charge qi -4 uC is located at the origin of a co- ordinate system. Another point charge q2 -7.1 uC is located along the x-axis at a distance X2 = 7.4 cm from q1. 1) What is F12.x, the value of the x-component of the force that q exerts on qz? 2) Charge qz is now displaced a distance y2 3.3 cm in the positive y-direction. What is the new value for the x-component of the force that...
1) A r r B r Two charges, one at the origin, O, with charge - Q, and the other at point B with charge +Q, where Q = 4.0 x 10-6C, are separated from each other and from observation point A at a distance of r= 10 meters a) Find the electric field at point A. (10 pts) b) What is the potential at point A ? (4 pts)
Point Charges in One Dimension 1 2 3 4 5 6 A point charge q,--4 pC is located at the origin of a co-ordinate system. Another point charge q2-7.1 C is located along the x-axis at a distance x2-7.4 cm from q1 1) What is F12,x, the value of the x-component of the force that q1 exerts on q2? 46.67 N Submit 2) Charge q2 is now displaced a distance y2 3.3 cm in the positive y-direction. What is the...
1) A point charge 4.60 μC is held fixed at the origin. A second point charge 1.30 μC with mass of 2.80×10−4 kg is placed on the x axis, 0.260 m from the origin. A. What is the electric potential energy U of the pair of charges? (Take U to be zero when the charges have infinite separation.) B. The second point charge is released from rest. What is its speed when its distance from the origin is 0.600 m...
A point charge 4.60 μC is held fixed at the origin. A second point charge 1.20 μC with mass of 2.80×10−4 kg is placed on the x axis, 0.220 m from the origin. What is the electric potential energy U of the pair of charges? (Take U to be zero when the charges have infinite separation.) U U = 0.226 J The second point charge is released from rest. What is its speed when its distance from the origin is...
A point charge q2 = -4.5 μC is fixed at the origin of a co-ordinate system as shown. Another point charge q1 = 3.5 μC is is initially located at point P, a distance d1 = 7.2 cm from the origin along the x-axis 1) What is ΔPE, the change in potenial energy of charge q1 when it is moved from point P to point R, located a distance d2 = 2.9 cm from the origin along the x-axis as...