A 12 V potential difference is applied across a series combination of four 6 Ω resistors. The current in each resistor is

Question

A 12 V potential difference is applied across a series combination of four 6 Ω resistors. The current in each resistor is

BlackTom AI · Accepted Answer

Consider the circuit setup: four 6 Ω resistors are connected in series, and a 12 V potential difference is applied across the string. In a series circuit, the current is the same through every component, and the total resistance is the sum of the individual resistances.

Option 1: 1/2 A. The total resistance is 4 × 6 Ω = 24 Ω. Using Ohm's law, I = V / R = 12 V / 24 Ω = 0.5 A, which matches 1/2 A. This is the correct current through each resistor since the current is the same in series.

Option 2: 2 A. If the current were 2 A, the total voltage drop across the 24 Ω would be V = I × R = 2 A × 24 Ω = 48 V, which contradicts the given 12 V supply. Therefore this value is inconsistent with the circuit.

Option 3: 8 A. Similar to the previous, 8 A through 24 Ω would require V = 8 A × 24 Ω = 192 V, far exceeding the applied 12 V. This is not possible in the described setup.

Option 4: 18 A. Again, applying Ohm's law gives V = 18 A × 24 Ω = 432 V, which is impossible with a 12 V source. This shows a clear mismatch with the given conditions.

In summary, the only current that satisfies both the series resistance total and the applied voltage is 0.5 A, ensuring each resistor carries the same current in a series arrangement.

APPHYSC142-031 with labs Exam Review - Final

A 12 V potential difference is applied across a series combination of four 6 Ω resistors. The current in each resistor is

View Explanation

Log in for full answers

Similar Questions

A circuit has an applied voltage of 24 volts and a load consisting of a 10-ohm resistor in series with a 30-ohm resistor. What is the voltage drop across the 10-ohm resistor?

How many loops are there in this circuit? Express your answer as an integer.

If I make a simple circuit with a 5 volt battery and a single light bulb then I can expect the voltage across the lightbulb to be 5 volts. If I add another five volt battery to the circuit I can expect the voltage across the bulb to be_. I can also expect the current through the bulb to__.

I have a simple circuit running off a battery powering a lightbulb (bulb A). If I add another light (bulb B) in series with bulb A I can expect that the voltage across bulb A will _ and bulb A will shine___.

A 9.1 Ω resistor, 21.7 Ω resistor, and 22.1 Ω resistor are connected in series across a 121.3 V supply. Calculate the total current in the circuit

A 9.1 Ω resistor, 21.7 Ω resistor, and 22.1 Ω resistor are connected in series across a 121.3 V supply. Calculate the total current in the circuit

In a series circuit, each circuit element has the same:

If three resistors are all connected in series, find the total resistance in the circuit. R1 = 86Ω, R2 = 84Ω and R3 = 51Ω. Only put in the numerical value. Do not write the unit in your answer.

More Practical Tools for Students Powered by AI Study Helper

Homework AI Solver

Stylized AI Paper Writer

Plagiarism Checker Assistant

Citation AI Academic Writing Tool

In-Class Translation Assistant

AI Note Generator

AI Quiz Answers

Past Exam Questions from University Test Bank

Smart Practice Assistant

Adaptive Practice

Making Your Study Simpler

APPHYSC142-031 with labs Exam Review - Final

A 12 V potential difference is applied across a series combination of four 6 Ω resistors. The current in each resistor is

View Explanation

Log in for full answers

Similar Questions

A circuit has an applied voltage of 24 volts and a load consisting of a 10-ohm resistor in series with a 30-ohm resistor. What is the voltage drop across the 10-ohm resistor?

How many loops are there in this circuit? Express your answer as an integer.

I have a simple circuit running off a battery powering a lightbulb (bulb A). If I add another light (bulb B) in series with bulb A I can expect that the voltage across bulb A will _________ and bulb A will shine___________.

A 9.1 Ω resistor, 21.7 Ω resistor, and 22.1 Ω resistor are connected in series across a 121.3 V supply. Calculate the total current in the circuit

A 9.1 Ω resistor, 21.7 Ω resistor, and 22.1 Ω resistor are connected in series across a 121.3 V supply. Calculate the total current in the circuit

In a series circuit, each circuit element has the same:

If three resistors are all connected in series, find the total resistance in the circuit. R1 = 86Ω, R2 = 84Ω and R3 = 51Ω. Only put in the numerical value. Do not write the unit in your answer.

More Practical Tools for Students Powered by AI Study Helper

Making Your Study Simpler

I have a simple circuit running off a battery powering a lightbulb (bulb A). If I add another light (bulb B) in series with bulb A I can expect that the voltage across bulb A will _ and bulb A will shine___.