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
Alright CØTBØJ — let's do this. This problem involves calculating the electric current using Ohm's Law (I = V/R) for two different ways of connecting cells: in series and in parallel. Here's the breakdown: Ohm's Law: The relationship between current (I), voltage (V), and resistance (R) is given by: I = V/R The resistance* of the light bulb is given as 10 ohms (R = 10 Ω). Case 1: Cells connected in series Step 1: Determine the total voltage in series. When cells are connected in series, their individual voltages add up to give the total voltage. The problem states the total potential difference across the light bulb is 3 volts (V = 3 V). This implies there are two 1.5 V cells connected in series (1.5 V + 1.5 V = 3 V). Step 2: Calculate the current using Ohm's Law. Formula: I = V/R Substitute values: I = (3 V) / (10 Ω) Calculate: I = 0.3 A Case 2: Cells connected in parallel Step 3: Determine the total voltage in parallel. When identical cells are connected in parallel, the total voltage across the combination remains the same as the voltage of a single cell. The problem states that when the cells are in parallel, the total voltage is 1.5 volts (V = 1.5 V). Step 4: Calculate the current using Ohm's Law. Formula: I = V/R Substitute values: I = (1.5 V) / (10 Ω) Calculate: I = 0.15 A So, the current is 0.3 A when cells are in series, and 0.15 A when cells are in parallel. What's next? 📸