Question

In: Physics

2) Two charged spheres separated by 2m are suspended vertically from a horizontal beam by insulating...

2) Two charged spheres separated by 2m are suspended vertically from a horizontal beam by insulating strings. The spheres have the same mass 4kg. The charges on the spheres are 2 ?C and -3 ?C.

(a) Calculate the electric force between the charges. Give both magnitude and direction.

(b) Determine the electric potential (Volts) at a point midway between the charges.

Solutions

Expert Solution

To resolve this problem wa have to know about coulomb's law, Electric potential and Electric field

Step 1: Definition

Coulomb's law: Describing the electrostatic interaction between electrically charged particles.

The magnitude of the electrostatic force of interaction between two point charges is directly proportional to the scalar multiplication of the magnitudes of charges and inversely proportional to the square of the distance between them.

The force is along the straight line joining them. If the two charges have the same sign, the electrostatic force between them is repulsive; if they have different sign, the force between them is attractive.

Electric potential: is the amount of electric potential energy that a unitary point electric charge would have if located at any point of space, and is equal to the [work done] by an external agent in carrying a unit positive charge from infinity to that point.

The electric potential created by a point charge Q, at a distance r from the charge (relative to the potential at infinity), can be shown to be

The electric potential due to a system of point charges is equal to the sum of the point charges' individual potentials.

Electric field: Is a component of the electromagnetic field. It is a vector field, and it is generated by electric charges or time-varying magnetic fields

Step 2: ANSWERS:

a.- Calculate the electric force between the charges. Give both magnitude and direction.

how the charges have different sign the force is of atracction y the direction of the force is from q2 to q1

The force between q2 to q1 have the same magnitude but the direccion of force is opposite at direction of F12

b.- Determine the electric potential (Volts) at a point midway between the charges

The point midway is 1m

The potential in the midway ponit is

c.- What direction are the electric field lines for each charge?

The direction of the electric field lines for the positive charge is out of the charge

The direction of the electric field lines for the negative charge, is inward of the charge

If you have any question please let me know in the comments

genius_generous answered 1 year ago

Next > < Previous

Related Solutions

Two 2.0-cm-diameter insulating spheres have a 5.60 cm space between them. One sphere is charged to...

Two 2.0-cm-diameter insulating spheres have a 5.60 cm space between them. One sphere is charged to + 40.0 nC , the other to - 60.0 nC . Part A What is the electric field strength at the midpoint between the two spheres?

Two 2.0-cm-diameter insulating spheres have a 7.00 cm space between them. One sphere is charged to...

Two 2.0-cm-diameter insulating spheres have a 7.00 cm space between them. One sphere is charged to + 70.0 nC , the other to - 79.0 nC . Part A What is the electric field strength at the midpoint between the two spheres? Express your answer with the appropriate units.

A horizontal beam of vertically polarized light of intensity 42.0 W/m2 is sent through two polarizing...

A horizontal beam of vertically polarized light of intensity 42.0 W/m2 is sent through two polarizing sheets. The polarizing direction of the first is at 26.0° to the vertical, and that of the second is horizontal. What is the intensity of the light transmitted by the pair of sheets?

A horizontal beam of vertically polarized light of intensity 33.0 W/m2 is sent through two polarizing...

A horizontal beam of vertically polarized light of intensity 33.0 W/m2 is sent through two polarizing sheets. The polarizing direction of the first is at 37.0° to the vertical, and that of the second is horizontal. What is the intensity of the light transmitted by the pair of sheets? W/m2

There are two identical, positively charged conducting spheres fixed in space. The spheres are 43.0 cm...

There are two identical, positively charged conducting spheres fixed in space. The spheres are 43.0 cm apart (center to center) and repel each other with an electrostatic force of F1 = 0.0675 N. Then, a thin conducting wire connects the spheres, redistributing the charge on each sphere. When the wire is removed the spheres still repel but with a force of F2 = 0.100 N. Using this information, find the initial charge on each sphere, q1 and q2 if initially...

There are two identical, positively charged conducting spheres fixed in space. The spheres are 41.0 cm...

There are two identical, positively charged conducting spheres fixed in space. The spheres are 41.0 cm apart (center to center) and repel each other with an electrostatic force of F1 = 0.0600 N. Then, a thin conducting wire connects the spheres, redistributing the charge on each sphere. When the wire is removed the spheres still repel but with a force of F2 = 0.115 N. Using this information, find the initial charge on each sphere, q1 and q2 if initially...

There are two identical, positively charged conducting spheres fixed in space. The spheres are 34.8 cm...

There are two identical, positively charged conducting spheres fixed in space. The spheres are 34.8 cm apart (center to center) and repel each other with an electrostatic force of ?1=0.0765 N . A thin conducting wire connects the spheres, redistributing the charge on each sphere. When the wire is removed, the spheres still repel, but with a force of ?2=0.100 N . The Coulomb force constant is ?=1/(4??0)=8.99×109 N⋅m2/C2 . Using this information, find the initial charge on each sphere,...

There are two identical, positively charged conducting spheres fixed in space. The spheres are 39.6 cm39.6...

There are two identical, positively charged conducting spheres fixed in space. The spheres are 39.6 cm39.6 cm apart (center to center) and repel each other with an electrostatic force of ?1=0.0675 NF1=0.0675 N . A thin conducting wire connects the spheres, redistributing the charge on each sphere. When the wire is removed, the spheres still repel, but with a force of ?2=0.115 NF2=0.115 N . The Coulomb force constant is ?=1/(4??0)=8.99×109 N⋅m2/C2k=1/(4πϵ0)=8.99×109 N⋅m2/C2 . Using this information, find the initial...

There are two identical, positively charged conducting spheres fixed in space. The spheres are 38.2 cm38.2...

There are two identical, positively charged conducting spheres fixed in space. The spheres are 38.2 cm38.2 cm apart (center to center) and repel each other with an electrostatic force of ?1=0.0705 NF1=0.0705 N . A thin conducting wire connects the spheres, redistributing the charge on each sphere. When the wire is removed, the spheres still repel, but with a force of ?2=0.100 NF2=0.100 N . The Coulomb force constant is ?=1/(4??0)=8.99×109 N⋅m2/C2k=1/(4πϵ0)=8.99×109 N⋅m2/C2 .

Situation 21.1 Two identical small conducting spheres are separated by 0.60m. The spheres carry different amounts...

Situation 21.1 Two identical small conducting spheres are separated by 0.60m. The spheres carry different amounts of charge and each sphere experiences an attractive electric force of 10.8N. The total charge on the two spheres is -24 ?C. In Situation 21.1, the two spheres are connected by a slender conducting wire, which is then removed. The electric force on each sphere is closest to: Situation 21.1 Two identical small conducting spheres are separated by 0.60m. The spheres carry different amounts...

Subjects