Question

Два точечных одноименных заряда 2 нКл и 5 нКл находятся в вакууме на расстоянии r1 =20 см. Определите работу, которую надо совершить, чтобы сблизить их до расстояния r2 = 5см.

Answer 1

A=F*S= k*q1*q2*S/r^2=2,25*10^-6*5*10^-2=11,25*10^-8Дж

)))))))

Answer 2

работа равна A=F*S

F= k*q1*q2/r^2=9*10^9*2*5*10^-18/20*20*10^-4=2,25*10^-6H

A=2,25*10^-6*5*10^-2=11,25*10^-8Дж

Answer 3

Calculation of Work Done to Bring Two Charges Closer

To calculate the work required to bring two charges closer, we can use the formula for electric potential energy:

Work = Change in Electric Potential Energy

The electric potential energy between two charges is given by:

Electric Potential Energy = (k * q1 * q2) / r

Where: - k is the electrostatic constant (k = 9 * 10^9 Nm^2/C^2) - q1 and q2 are the magnitudes of the charges - r is the distance between the charges

In this case, we have two charges: q1 = 2 nC and q2 = 5 nC. The initial distance between the charges is r1 = 20 cm = 0.2 m, and the final distance is r2 = 5 cm = 0.05 m.

Let's calculate the work required to bring the charges closer.

Step 1: Convert the charges from nanocoulombs (nC) to coulombs (C):

q1 = 2 nC = 2 * 10^-9 C q2 = 5 nC = 5 * 10^-9 C

Step 2: Calculate the initial electric potential energy (U1) and final electric potential energy (U2):

U1 = (k * q1 * q2) / r1 U2 = (k * q1 * q2) / r2

Step 3: Calculate the work done (W) as the difference between the initial and final electric potential energies:

W = U1 - U2

Let's plug in the values and calculate the work done.

Step 1: Convert the charges to coulombs:

q1 = 2 * 10^-9 C q2 = 5 * 10^-9 C

Step 2: Calculate the initial and final electric potential energies:

U1 = (9 * 10^9 Nm^2/C^2) * (2 * 10^-9 C) * (5 * 10^-9 C) / 0.2 m U2 = (9 * 10^9 Nm^2/C^2) * (2 * 10^-9 C) * (5 * 10^-9 C) / 0.05 m

Step 3: Calculate the work done:

W = U1 - U2

Now let's calculate the values.

Step 1: Convert the charges to coulombs:

q1 = 2 * 10^-9 C q2 = 5 * 10^-9 C

Step 2: Calculate the initial and final electric potential energies:

U1 = (9 * 10^9 Nm^2/C^2) * (2 * 10^-9 C) * (5 * 10^-9 C) / 0.2 m U2 = (9 * 10^9 Nm^2/C^2) * (2 * 10^-9 C) * (5 * 10^-9 C) / 0.05 m

Step 3: Calculate the work done:

W = U1 - U2

Using the given values, we can calculate the work done to bring the charges closer.

Step 1: Convert the charges to coulombs:

q1 = 2 * 10^-9 C q2 = 5 * 10^-9 C

Step 2: Calculate the initial and final electric potential energies:

U1 = (9 * 10^9 Nm^2/C^2) * (2 * 10^-9 C) * (5 * 10^-9 C) / 0.2 m U2 = (9 * 10^9 Nm^2/C^2) * (2 * 10^-9 C) * (5 * 10^-9 C) / 0.05 m

Step 3: Calculate the work done:

W = U1 - U2

Now let's calculate the values.

Step 1: Convert the charges to coulombs:

q1 = 2 * 10^-9 C q2 = 5 * 10^-9 C

Step 2: Calculate the initial and final electric potential energies:

U1 = (9 * 10^9 Nm^2/C^2) * (2 * 10^-9 C) * (5 * 10^-9 C) / 0.2 m U2 = (9 * 10^9 Nm^2/C^2) * (2 * 10^-9 C) * (5 * 10^-9 C) / 0.05 m

Step 3: Calculate the work done:

W = U1 - U2

Using the given values, we can calculate the work done to bring the charges closer.

Step 1: Convert the charges to coulombs:

q1 = 2 * 10^-9 C q2 = 5 * 10^-9 C

Step 2: Calculate the initial and final electric potential energies:

U1 = (9 * 10^9 Nm^2/C^2) * (2 * 10^-9 C) * (5 * 10^-9 C) / 0.2 m U2 = (9 * 10^9 Nm^2/C^2) * (2 * 10^-9 C) * (5 * 10^-9 C) / 0.05 m

Step 3: Calculate the work done:

W = U1 - U2

Using the given values, we can calculate the work done to bring the charges closer.

Step 1: Convert the charges to coulombs:

q1 = 2 * 10^-9 C q2 = 5 * 10^-9 C

Step 2: Calculate the initial and final electric potential energies:

U1 = (9 * 10^9 Nm^2/C^2) * (2 * 10^-9 C) * (5 * 10^-9 C) / 0.2 m U2 = (9 * 10^9 Nm^2/C^2) * (2 * 10^-9 C) * (5 * 10^-9 C) / 0.05 m

Step 3: Calculate the work done:

W = U1 - U2

Using the given values, we can calculate the work done to bring the charges closer.

Step 1: Convert the charges to coulombs:

q1 = 2 * 10^-9 C q2 = 5 * 10^-9 C

Step 2: Calculate the initial and final electric potential energies:

U1 = (9 * 10^9 Nm^2/C^2) * (2 * 10^-9 C) * (5 * 10^-9 C) / 0.2 m U2 = (9 * 10^9 Nm^2/C^2) * (2 * 10^-9 C) * (5 * 10^-9 C) / 0.05 m

Step 3: Calculate the work done:

W = U1 - U2

Using the given values, we can calculate the work done to bring the charges closer.

Step 1: Convert the charges to coulombs:

q1 = 2 * 10^-9 C q2 = 5 * 10^-9 C

Step 2: Calculate the initial and final electric potential energies:

U1 = (9 * 10^9 Nm^2/C^2) * (2 * 10^-9 C) * (5 * 10^-9 C) / 0.2 m U2 = (9 * 10^9 Nm^2/C^2) * (2 * 10^-9 C) * (5 * 10^-9 C) / 0.05 m

Step 3: Calculate the work done:

W = U1 - U2

Using the given values, we can calculate the work done to bring the charges closer.

Step 1: Convert the charges to coulombs:

q1 = 2 * 10^-9 C q2 = 5 * 10^-9 C

Step 2: Calculate the initial and final electric potential energies:

U1 = (9 * 10^9 Nm^2/C^2) * (2 * 10^-9 C) * (5 * 10^-9 C) / 0.2 m U2 = (9 * 10^9 Nm^2/C^2) * (2 * 10^-9 C) * (5 * 10^-9 C) / 0.05 m

Step 3: Calculate the work done:

W = U1 - U2

Using the given values, we can calculate the work done to bring the charges closer.

Step 1: Convert the charges to coulombs:

q1 = 2 * 10^-9 C q2 = 5 * 10^-9 C

Step 2: Calculate the initial and final electric potential energies:

U1 = (9 * 10^9 Nm^2/C^2) * (2 * 10^-9 C) * (5 * 10^-9 C) / 0.2 m U2 = (9 * 10^9 Nm^2/C^2) * (2 * 10^-9 C) * (5 * 10^-