Calculate the potential difference across a 10 resistor carrying current of 2 A.

Here are the solutions to the problems: Problem 1: Calculate the potential difference across a 10 resistor carrying current of 2 A. Step 1: Identify the given values. Resistance R = 10 Current I = 2 A Step 2: Use Ohm's Law to calculate the potential difference V. The formula for Ohm's Law is V = IR. V = (2 A) × (10 ) V = 20 V Potential difference V = 20 V Problem 2: The potential difference across a 3 resistor is 12 V. What is the current flowing? Step 1: Identify the given values. Resistance R = 3 Potential difference V = 12 V Step 2: Use Ohm's Law to calculate the current I. Rearranging Ohm's Law V = IR for I: I = (V)/(R) I = 12 V3 I = 4 A Current I = 4 A Problem 3: Find the potential difference across a conductor of resistance 2 if the charge of 180 C flows for 2 minutes. Step 1: Identify the given values and convert units. Resistance R = 2 Charge Q = 180 C Time t = 2 minutes = 2 × 60 s = 120 s Step 2: Calculate the current I using the formula I = (Q)/(t). I = 180 C120 s I = 1.5 A Step 3: Use Ohm's Law to calculate the potential difference V. The formula for Ohm's Law is V = IR. V = (1.5 A) × (2 ) V = 3 V Potential difference V = 3 V Problem 4: A current of 4 A flows through an electric kettle. The p.d. across it is 8 V. Find the resistance. Step 1: Identify the given values. Current I = 4 A Potential difference V = 8 V Step 2: Use Ohm's Law to calculate the resistance R. Rearranging Ohm's Law V = IR for R: R = (V)/(I) R = 8 V4 A R = 2 Resistance R = 2 Problem 5: The potential difference across a 2 k resistor is 4 V. Determine the current flowing in the circuit. Step 1: Identify the given values and convert units. Resistance R = 2 k = 2 × 10^3 = 2000 Potential difference V = 4 V Step 2: Use Ohm's Law to calculate the current I. Rearranging Ohm's Law V = IR for I: I = (V)/(R) I = 4 V2000 I = 0.002 A This can also be expressed in milliamperes: I = 2 × 10^-3 A = 2 mA Current I = 0.002 A (or 2 mA)