The amount of charge flowing in a wire can be calculated using the formula:

Q = I * t

Where Q is the charge, I is the current, and t is the time.

To find the current flowing through the wire, we can use Ohm's Law:

I = V / R

Where I is the current, V is the potential difference, and R is the resistance.

In this case, the potential difference is 20 V and the resistance is 10 ohm. Plugging these values into the formula, we can find the current:

I = 20 V / 10 ohm = 2 A

So, the current flowing through the wire is 2 A.

To calculate the amount of charge flowing in 2 minutes, we need to convert the time to seconds:

t = 2 minutes * 60 seconds/minute = 120 seconds

Now we can use the formula Q = I * t to find the charge:

Q = 2 A * 120 seconds = 240 C

Therefore, the amount of charge flowing in 2 minutes in a wire of resistance 10 ohm when a potential difference of 20 V is applied between its ends is 240 C.

Summary:

- The amount of charge flowing in a wire can be calculated using the formula Q = I * t.
- Ohm's Law can be used to find the current flowing through the wire: I = V / R.
- In this case, the potential difference is 20 V and the resistance is 10 ohm, giving a current of 2 A.
- To calculate the amount of charge flowing in 2 minutes, we need to convert the time to seconds, which is 120 seconds.
- Using the formula Q = I * t, the charge is found to be 240 C.

Given

R = 10 ohm

V = 20 volt

T = 2 minutes


Now we know that

I = Q / T ..... (1)

Therefore by ohms law

V = IR

I = V / R ....... (2)

By eq (1) and eq (2)


V / R = Q / T


20 / 10 = Q / 2


2 = Q / 2


Q = 4 coulamb