The electric potential at point P due to the point charges q1 and q2 is the algebraic sum of the potentials due to the individual charges.
The electric potential at point P due to the point charges q1 and q2 is the algebraic sum of the potentials due to the individual charges.
Suppose a charge of -2.50 μC is at the origin and a charge of 3.10 μC is at the point (0, 3.00) m.
(a) Find the electric potential at (4.00, 0) m, assuming the electric potential is zero at infinity.
(b) Find the work necessary to bring a 3.80 μC charge from infinity to the point (4.00, 0) m.
Homework Answers
a) for the potential at 4 , 0
electric potential = electric potential due to -2.5 uC + electric potential due to 3.1
electric potential = 9 *10^9 * 10^-6 * (-2.5/4 + 3.1/sqrt(4^2 + 3^2))
electric potential = -45 V
the potential at point P is -45 V
b)
work necessary = Potential * Charge
work necessary = -45 * 3.8 * 10^-6
work necessary = -0.000171 J
the work necessary is -0.000171 J
Add Answer to:
The electric potential at point P due to the point charges q1 and q2 is the algebraic sum of the potentials due to the individual charges.
A charge q1 = 2.00 μC is located at the origin and a charge q2 = -6.00 μC is located at (0, 3.00) m.
Example 1: A charge q1 = 2.00 μC is located at the origin and a charge q2 = -6.00 μC is located at (0, 3.00) m. (A) Find the total electric potential due to these charges at the point P whose coordinates are (4.00, 0) m.(B) Find the change in potential energy of the system of two charges plus a third charge q3 = 3.00 μC as the latter charge moves from infinity to point P.
A charge q1 = 2.00 μC is located at the origin and a charge q2 = 6.00 μC is located at (0, 3.00) m.
Example 1: A charge q1 = 2.00 μC is located at the origin and a charge q2 = 6.00 μC is located at (0, 3.00) m.(A) Find the total electric potential due to these charges at the point P, whose coordinates are (4.00, 0) m.(B) Find the change in potential energy of the system of two charges plus a third charge q3 3.00 uC as the latter charge moves from infinity to point P.
Problem 6 a) In the picture below, the 3 charges Q1, Q2 and Q3 are located...
Problem 6 a) In the picture below, the 3 charges Q1, Q2 and Q3 are located at positions (-a,0), (a,0) and (0,-d) respectively (The origin is the point halfway between Q1 and Q2.) 2 Consider the special case where Q1, Q3 greater than zero and Q2 Q1 Select true or false for each statement. The work required to move Q3 from its present position to the origin is zero The electric potential at the origin equals Q3/(4πε0d) (Here k =...
a) In the picture below, the 3 charges Q1, Q2 and Q3 are located at positions...
a) In the picture below, the 3
charges Q1, Q2 and Q3 are located at positions (-a,0), (a,0) and
(0,-d) respectively. (The origin is the point halfway between Q1
and Q2.) Consider the special case where Q1, Q3 greater than zero
and Q2 = -Q1. Select true or false for each statement. The force on
Q3 due to the other two charges is zero. The electric potential at
any point along the y-axis is positive. If Q3 is released from...
a) In the picture below, the 3 charges Q1, Q2 and Q3 are located at positions...
a) In the picture below, the 3 charges Q1, Q2and Q3 are located at positions (-a,0), (a,0) and (0,-d)
respectively.(The origin is the point halfway between Q1 and
Q2.)Consider the special case where Q1, Q3greater than zero and Q2 = -Q1.Select true or false for each statement.True False If Q3 is released from rest, it will
initially accelerate to the right.True False The electric potential at any point along the
y-axis is positive.True False The electric potential at the origin equals
Q3/(4πε0d).(Here k...
In the picture below, the 3 charges Q1, Q2 and Q3 are located at positions (-a,0),...
In the picture below, the 3 charges Q1, Q2and Q3 are located at positions (-a,0), (a,0) and (0,-d)
respectively.(The origin is the point halfway between Q1 and
Q2.)Consider the special case where Q1, Q3greater than zero and Q2 = -Q1.Select true or false for each statement.True False If Q3 is released from rest, it will
initially accelerate to the right.True False The electric potential at any point along the
y-axis is positive.True False The electric potential at the origin equals
Q3/(4πε0d).(Here k =...
Use the worked example above to help you solve this problem. A 5.10-mu C point charge...
Use the worked example above to help you solve this problem. A 5.10-mu C point charge is at the origin, and a point charge q_2 = -1.70 mu C is on the x-axis at (3.00, 0) m, as shown in the figure. (a) If the electric potential is taken to be zero at infinity, find the electric potential due to these charges at point P with coordinates (0, 4.00) m. V (b) How much work is required to bring a...
Problem6 a) In the picture below, the 3 charges Q1, Q2 and Q3 are located at...
Problem6 a) In the picture below, the 3 charges Q1, Q2 and Q3 are located at positions (-a,0), (a,0) and (0,-d) respectively (The origin is the point halfway between Q1 and Q2.) 2 Consider the special case where Q1, Q3 greater than zero and Q2 =-Q1 Select true or false for each statement The electric field at the origin points solely in the positive y direction If Q3 is released from rest, it wil initially accelerate to the right The...
Three point charges are on the x axis: q1 is at the origin, q2 is at...
Three point charges are on the x axis: q1 is at the origin, q2 is at x = +2.00 m, and q3 is at x = +5.50 m. Find the electrostatic potential energy of this system of charges for the following charge values. (Assume the potential energy is zero when the charges are very far from each other.) (a) 1 2 3+4.00 c mJ (c) q1 = q3 = 3.00 pC and q2 =-3.00 pC
A 5.00-mC point charge is at the origin, and a point charge q_2 = -22.00 mC...
A 5.00-mC point charge is at the origin, and a point charge q_2 = -22.00 mC is on the x-axis at (3.00, 0) m. If the electric potential is taken to be zero at infinity, find the electric potential due to these charges at point P with coordinates (0, 4.00) How much work is required to bring a third point charge of 4.00 mC from infinity to P?
Problem 6 a) In the picture below, the 3 charges Q1, Q2 and Q3 are located at positions (-a,0), (a,0) and (0,-d) respectively (The origin is the point halfway between Q1 and Q2.) 2 Consider the special case where Q1, Q3 greater than zero and Q2 Q1 Select true or false for each statement. The work required to move Q3 from its present position to the origin is zero The electric potential at the origin equals Q3/(4πε0d) (Here k =...
a) In the picture below, the 3
charges Q1, Q2 and Q3 are located at positions (-a,0), (a,0) and
(0,-d) respectively. (The origin is the point halfway between Q1
and Q2.) Consider the special case where Q1, Q3 greater than zero
and Q2 = -Q1. Select true or false for each statement. The force on
Q3 due to the other two charges is zero. The electric potential at
any point along the y-axis is positive. If Q3 is released from...
In the picture below, the 3 charges Q1, Q2and Q3 are located at positions (-a,0), (a,0) and (0,-d)
respectively.(The origin is the point halfway between Q1 and
Q2.)Consider the special case where Q1, Q3greater than zero and Q2 = -Q1.Select true or false for each statement.True False If Q3 is released from rest, it will
initially accelerate to the right.True False The electric potential at any point along the
y-axis is positive.True False The electric potential at the origin equals
Q3/(4πε0d).(Here k =...
Use the worked example above to help you solve this problem. A 5.10-mu C point charge is at the origin, and a point charge q_2 = -1.70 mu C is on the x-axis at (3.00, 0) m, as shown in the figure. (a) If the electric potential is taken to be zero at infinity, find the electric potential due to these charges at point P with coordinates (0, 4.00) m. V (b) How much work is required to bring a...
Problem6 a) In the picture below, the 3 charges Q1, Q2 and Q3 are located at positions (-a,0), (a,0) and (0,-d) respectively (The origin is the point halfway between Q1 and Q2.) 2 Consider the special case where Q1, Q3 greater than zero and Q2 =-Q1 Select true or false for each statement The electric field at the origin points solely in the positive y direction If Q3 is released from rest, it wil initially accelerate to the right The...
Three point charges are on the x axis: q1 is at the origin, q2 is at x = +2.00 m, and q3 is at x = +5.50 m. Find the electrostatic potential energy of this system of charges for the following charge values. (Assume the potential energy is zero when the charges are very far from each other.) (a) 1 2 3+4.00 c mJ (c) q1 = q3 = 3.00 pC and q2 =-3.00 pC
A 5.00-mC point charge is at the origin, and a point charge q_2 = -22.00 mC is on the x-axis at (3.00, 0) m. If the electric potential is taken to be zero at infinity, find the electric potential due to these charges at point P with coordinates (0, 4.00) How much work is required to bring a third point charge of 4.00 mC from infinity to P?
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