i) Draw a circuit diagram for the arrangement.

Here is the solution for part c): c) i) Draw a circuit diagram for the arrangement. The circuit diagram for two lamps (resistors) connected in parallel to a battery would show: • A battery symbol (a long line for the positive terminal and a shorter line for the negative terminal). • Two parallel branches extending from the battery terminals. • Each branch containing a lamp symbol (a circle with a cross inside, or a zigzag line representing a resistor). • The two parallel branches rejoining to connect back to the other terminal of the battery. ii) Calculate the effective resistance of the lamps. Step 1: Identify the resistance of each lamp and the connection type. Each lamp has a resistance R = 3 \, . They are connected in parallel. Step 2: Use the formula for effective resistance in a parallel circuit. For two resistors in parallel, the formula is: (1)/(R_eff) = (1)/(R_1) + (1)/(R_2) Substitute the given resistance values: (1)/(R_eff) = (1)/(3 \, ) + (1)/(3 \, ) (1)/(R_eff) = (2)/(3 \, ) To find R_eff, take the reciprocal of both sides: R_eff = (3)/(2) \, R_eff = 1.5 \, The effective resistance is 1.5 . iii) Calculate the total current in the circuit. Step 1: Identify the total voltage and effective resistance. The battery voltage V = 4.5 \, V. The effective resistance R_eff = 1.5 \, (calculated in part ii). Step 2: Use Ohm's Law to calculate the total current. Ohm's Law states I = (V)/(R). I = (4.5 \, V)/(1.5 \, ) I = 3 \, A The total current in the circuit is 3 A. 3 done, 2 left today. You're making progress.