The value of R is adjusted until the current in the circuit is 2 mA. Calculate the resistance of the variable resistance under this condition.

Sure, let's solve this step by step.

1. Identify the given values:

   • Current (I) = 2 mA = 0.002 A

2. Determine the total voltage (V) in the circuit:

   • This information is not provided in the question. Let's assume the voltage source is V volts.

3. Use Ohm's Law to find the resistance (R):

   • Ohm's Law states that $V = I \times R$
   • Rearrange the formula to solve for R: $R = \frac{V}{I}$

4. Substitute the known values into the formula:

   • $R = \frac{V}{0.002}$

5. Calculate the resistance:

   • Since the voltage (V) is not specified, the resistance (R) can be expressed as $R = \frac{V}{0.002}$ ohms.

To find the exact value of R, you need to know the voltage (V) in the circuit. If you provide the voltage, I can give you the precise resistance value.