Question

There are two identical, positively charged conducting spheres fixed in space. The spheres are 49.0 cm apart (center to center) and repel each other with an electrostatic force of F1 = 0.0705 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 q1 < q2. The Coulomb Force constant = 1/(4piEknot) =8.99x10^9 Nxm^2/C^2

q1= (blank)C

q2=(blank)C

Answer #1

r = distance between the spheres = 49 cm = 0.49 m

F_{i} = force between the spheres initially = 0.0705
N

electric force between the spheres is given as

F_{i} = k q_{1} q_{2}/r^{2}

0.0705 = (9 x 10^{9}) q_{1}
q_{2}/(0.49)^{2}

q_{1} q_{2} = 1.88 x 10^{-12} eq-1

after the spheres are connected using conducting wire, the charge redistribute until they have equal charge. let the charge on each be "q" after disconnecting

new force is given as

F_{n} = k q^{2}/r^{2}

0.115 = (9 x 10^{9})
q^{2}/(0.49)^{2}

q = 1.75 x 10^{-6}

using conservation of charge

q_{1} + q_{2} = 2q

q_{1} + q_{2} = 2 (1.75 x 10^{-6})

q_{1} + q_{2} = 3.5 x 10^{-6}

q_{1} = (3.5 x 10^{-6}) - q_{2} eq-2

using eq-1 and eq-2

((3.5 x 10^{-6}) - q_{2}) q_{2} = 1.88 x
10^{-12}

q_{2} = 2.84 x 10^{-6} C

using eq-2

q_{1} = (3.5 x 10^{-6}) -
q_{2}

q_{1} = (3.5 x 10^{-6}) - ( 2.84 x
10^{-6})

q_{1} = 6.625 x 10^{-7} C

There are two identical, positively charged conducting spheres
fixed in space. The spheres are 47.8 cm apart (center to center)
and repel each other with an electrostatic force of F1 = 0.0720 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 32.0 cm apart (center to center)
and repel each other with an electrostatic force of F1 = 0.0750 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 34.8 cm apart (center to center)
and repel each other with an electrostatic force of ?1=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 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 31.4 cm31.4 cm apart (center to
center) and repel each other with an electrostatic force of
?1=0.0615 NF1=0.0615 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...

Two identical conducting spheres, fixed in place, attract each
other with an electrostatic force of 0.107 N when their
center-to-center separation is 46.6 cm. The spheres are then
connected by a thin conducting wire. When the wire is removed, the
spheres repel each other with an electrostatic force of 0.0321 N.
Of the initial charges on the spheres, with a positive net charge,
what was (a) the negative charge on one of them
and (b) the positive charge on the...

Two identical conducting spheres, fixed in place, attract each
other with an electrostatic force of 0.155 N when their
center-to-center separation is 45.4 cm. The spheres are then
connected by a thin conducting wire. When the wire is removed, the
spheres repel each other with an electrostatic force of 0.0386 N.
Of the initial charges on the spheres, with a positive net charge,
what was (a) the negative charge on one of them
and (b) the positive charge on the...

Two identical conducting spheres, fixed in place, attract each
other with an electrostatic force of 0.149 N when their
center-to-center separation is 55.0 cm. The spheres are then
connected by a thin conducting wire. When the wire is removed, the
spheres repel each other with an electrostatic force of 0.0369 N.
Of the initial charges on the spheres, with a positive net charge,
what was (a) the negative charge on one of them and (b) the
positive charge on the...

Two identical conducting spheres, fixed in place, attract each
other with an electrostatic force of 0.149 N when their
center-to-center separation is 55.0 cm. The spheres are then
connected by a thin conducting wire. When the wire is removed, the
spheres repel each other with an electrostatic force of 0.0369 N.
Of the initial charges on the spheres, with a positive net charge,
what was (a) the negative charge on one of them and (b) the
positive charge on the...

Two identical conducting spheres, fixed in place, attract each
other with an electrostatic force of -0.2071 N when separated by 50
cm, center-to-center. The spheres are then connected by a thin
conducting wire. When the wire is removed, the spheres repel each
other with an electrostatic force of 0.1165 N. What were the
initial charges on the spheres? Since one is negative and you
cannot tell which is positive or negative, there are two solutions.
Take the absolute value of...

Two identical conducting spheres, fixed in place, attract each
other with an electrostatic force of -0.5574 N when
separated by 50 cm, center-to-center. The spheres are then
connected by a thin conducting wire. When the wire is removed, the
spheres repel each other with an electrostatic force of 0.0325
N. What were the initial charges on the spheres? Since one
is negative and you cannot tell which is positive or negative,
there are two solutions. Take the absolute value of...

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 22 minutes ago

asked 24 minutes ago

asked 31 minutes ago

asked 35 minutes ago

asked 47 minutes ago

asked 47 minutes ago

asked 50 minutes ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago