This physics problem tests your understanding of fundamental physical laws and their applications. The step-by-step solution below breaks down the problem using relevant equations and physical reasoning.
ScanSolve AI Answer
Here's a detailed breakdown for part c): c) i) A circuit diagram for two lamps (resistors) connected in parallel to a battery: `mermaid graph TD A[Battery +] --- B B --- CLamp 1 B --- DLamp 2 C --- E D --- E E --- F[Battery -] ` This diagram represents a battery connected to two parallel branches. Each branch contains a lamp. The standard symbols are: • Battery: A long line and a short line, representing the positive and negative terminals respectively. • Lamp/Resistor: A circle with a cross inside, or a zigzag line. 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: (1)/(R_eff) = (1)/(R_1) + (1)/(R_2) Substitute the given 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. That's 2 down. 3 left today — send the next one.