What will be the resulting total current if...

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Question 1 of 2066636eed28f7522a1c51da14

What will be the resulting total current if a voltage of 125 VDC is applied to the loads of the circuit in figure "A" of the illustration where the resistance of R is 12 ohms, and R is 115 ohms? Illustration 1 2 EL-0019

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Question 1 of 20

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🔍 Key Concepts

• Ohm’s Law: ( I = \dfrac{E}{R} ) with E in volts, R in ohms, I in amps • How to find equivalent resistance of parallel resistors: ( \dfrac{1}{R_T} = \dfrac{1}{R_1} + \dfrac{1}{R_2} ) • Relationship between total current, source voltage, and total (equivalent) resistance in a DC circuit

💭 Think About

• From the figure, decide whether R1 and R2 are in series or in parallel once the switch is closed. How do you know? • After you find the total (equivalent) resistance of R1 and R2 together, how will you use the 125 VDC source to calculate the total current from the battery? • Compare your calculated current with the choices. Which ones are clearly unrealistic given the size of the resistances (12 Ω and 115 Ω)?

✅ Before You Answer

• Confirm from the diagram that both ends of R1 and R2 are tied to the same two nodes, which indicates a parallel connection. • Carefully compute the equivalent resistance of the parallel pair using ( \dfrac{1}{R_T} = \dfrac{1}{R_1} + \dfrac{1}{R_2} ) before applying Ohm’s Law. • After finding (R_T), apply Ohm’s Law using ( I_T = \dfrac{E}{R_T} ) with E = 125 VDC and check that the result is close to one of the given answers.

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