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Three resistors of 3 ohms, 10 ohms and 15 ohms are connected in parallel in a 30 V circuit. The current that will flow through the 3-ohm resistor is _________
- a)30 A
- b)10 A
- c)6 A
- d)2 A
Correct answer is option 'B'. Can you explain this answer?
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Verified Answer
Three resistors of 3 ohms, 10 ohms and 15 ohms are connected in parall...
As all three resistors are connected in parallel, the voltage across all the resistors will be the same.
Voltage across 3 ohm resistor = 30 V
Current flows through 3-ohm resistor = 30/3 = 10 A
Most Upvoted Answer
Three resistors of 3 ohms, 10 ohms and 15 ohms are connected in parall...
Calculation of Current Flowing Through the 3-ohm Resistor:
Step 1: Calculate the Total Resistance:
- Resistor 1 (3 ohms), Resistor 2 (10 ohms), and Resistor 3 (15 ohms) are connected in parallel.
- The formula for calculating total resistance in a parallel circuit is: 1/RT = 1/R1 + 1/R2 + 1/R3
- Plugging in the values, we get: 1/RT = 1/3 + 1/10 + 1/15
- Calculating the total resistance, RT = 1 / (1/3 + 1/10 + 1/15)
- RT ≈ 1.304 ohms
Step 2: Calculate the Current Flowing Through the Circuit:
- Using Ohm's Law (V = IR), we can calculate the total current flowing through the circuit: I = V / RT
- Plugging in the values, I = 30 V / 1.304 ohms
- I ≈ 23.08 A
Step 3: Calculate the Current Flowing Through the 3-ohm Resistor:
- Since the resistors are connected in parallel, the voltage across each resistor is the same as the total voltage (30 V).
- Using Ohm's Law (V = IR) for the 3-ohm resistor: 30 V = I3 * 3 ohms
- Solving for I3 (current through the 3-ohm resistor), we get: I3 = 30 V / 3 ohms
- I3 = 10 A
Therefore, the current flowing through the 3-ohm resistor is 10 A.
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Three resistors of 3 ohms, 10 ohms and 15 ohms are connected in parallel in a 30 V circuit. The currentthat will flow through the 3-ohm resistor is _________a)30 Ab)10 Ac)6 Ad)2 ACorrect answer is option 'B'. Can you explain this answer?
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