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Bess [88]
2 years ago
7

How many excess electrons must be distributed uniformly within the volume of an isolated plastic sphere 26.0 cm in diameter to p

roduce an electric field of 1440 N/C just outside the surface of the sphere
Physics
2 answers:
fredd [130]2 years ago
4 0

The number of excess electrons needed to be distributed uniformly in the sphere to produce the given electric field is 1.69*10^(10).

What is an electric field?

The electric force exerted on a unit charge is called the electric field.

For a sphere of uniform charge density, the magnitude of the electric field on its surface is given by,

E=k*q/r^2

where E is the magnitude of the electric field, k is the coulomb's constant which has a value of 9*10^9 N m^(2) C^(-2), and q is the total charge of the sphere, and r is the radius of the sphere.

The radius of the sphere is half of the diameter. Given the diameter of the sphere is 26.0 m, the radius of the sphere r=26.0/2 cm or r=13.0 cm.

It is given that E=1440 N/C, r=13.0 cm, and the value of k is 9*10^9 N m^(2) C^(-2). Substitute these values in the formula of the electric field and solve it to get the value of the total charge on the sphere.

Note: 1 cm = 0.01 m.

1440 (N/C)= (9*10^9 N m^(2) C^(-2))*q/( 13 cm)^2

1440 (N/C)= (9*10^9 N m^(2) C^(-2))*q/( 13*0.01 m)^2

1440 ( N/C)= (532.54*10^(9) N C^(-2))*q

q=1440/(532.54*10^(9)) C

q=2.704*10^(-9) C

Since the charge is quantized, the total charge inside the sphere is the integral multiple of an elementary charge. In the given case, the value of that elementary charge is 1.6*10^(-19) C. The total charge is then given by,

q=ne

where q is the total charge, n is the number of elementary charges and e is the value of the elementary charge.

The value of q is 2.704*10^(-9) C and the value of e is 1.6*10^(-19) C.

Substitute these values in the formula of total charge and solve it to get the number of elementary charges.

2.704*10^(-9) C =n*1.6*10^(-19) C

n=2.704*10^(-9)/ 1.6*10^(-19)

n=1.69*10^(10)

Learn more about the electric field here:

brainly.com/question/14632877

#SPJ4

nexus9112 [7]2 years ago
3 0

a metaphor for generosity and joy and joy and joy and joy organised a large wedding guests had to choose their meal from beef chicken tikka and a kind young women in the streets of St

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ikadub [295]

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Thermal energy typically flows from a warmer material to a cooler material. Generally, when thermal energy is transferred to a material, the motion of its particles speeds up and its temperature increases. There are three methods of thermal energy transfer: conduction, convection, and radiation.

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3 years ago
A box with mass (m) it's sliding along on a friction-free surface at 9.87 m/s at a height of 1.81 meters. It travels down the hi
Rus_ich [418]
A) The answer is 11.53 m/s

The final kinetic energy (KEf) is the sum of initial kinetic energy (KEi) and initial potential energy (PEi).
KEf = KEi + PEi

Kinetic energy depends on mass (m) and velocity (v)
KEf = 1/2 m * vf²
KEi = 1/2 m * vi²

Potential energy depends on mass (m), acceleration (a), and height (h):
PEi = m * a * h

So:
KEf = KEi + <span>PEi
</span>1/2 m * vf² =  1/2 m * vi² + m * a * h
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Divide all sides by m:
1/2 vf² =  1/2 vi² + a * h

We know:
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a = 9.8 m/s²
h = 1.81 m

1/2 vf² =  1/2 * 9.87² + 9.8 * 1.81
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b) The answer is 6.78 m

The kinetic energy at the bottom (KE) is equal to the potential energy at the highest point (PE)
KE = PE

Kinetic energy depends on mass (m) and velocity (v)
KE = 1/2 m * v²

Potential energy depends on mass (m), acceleration (a), and height (h):
PE = m * a * h

KE = PE
1/2 m * v² = m * a * h

Divide both sides by m:
1/2 * v² = a * h
v = 11.53 m/s
a = 9.8 m/s² 
h = ?

1/2 * 11.53² = 9.8 * h
1/2 * 132.94 = 9.8 * h
66.47 = 9.8 * h
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3 0
3 years ago
What is the formula for the moment of inertia of the person/single particle rotating in a circle? (Give these values with a subs
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Moment of inertia of single particle rotating in circle is I1 = 1/2 (m*r^2)

The value of the moment of inertia when the person is on the edge of the merry-go-round is I2=1/3 (m*L^2)

Moment of Inertia refers to:

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The moment of inertia of single particle rotating in a circle I1 = 1/2 (m*r^2)

here We note that the,

In the formula, r being the distance from the point particle to the axis of rotation and m being the mass of disk.

The value of the moment of inertia when the person is on the edge of the merry-go-round is determined with parallel-axis theorem:

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learn more about moment of Inertia here:

<u>brainly.com/question/14226368</u>

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7 0
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The temperature inside a vehicle can rise ____ degrees higher than the outside temperature.
Elis [28]

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