Question

7 multiple choice 1 point
circuit diagram
r1 has a resistance of 4 ohms, r2 has a resistance of 6 ohms what is their \combined\ value?
○ 2.4 ohms
○ 4 ohms
○ 3 ohms
○ 12 ohms
8 multiple choice 1 point
electrical current flow is measured in
○ ohms
○ watts
○ amps
○ volts

Explanation:

Question 7

Step1: Identify circuit type (parallel)

The resistors \( R_1 \) and \( R_2 \) are in parallel (connected across the same voltage source). The formula for parallel resistance is \( \frac{1}{R_{eq}} = \frac{1}{R_1} + \frac{1}{R_2} \).

Step2: Substitute values

Given \( R_1 = 4 \, \Omega \), \( R_2 = 6 \, \Omega \). Substitute into the formula:
\( \frac{1}{R_{eq}} = \frac{1}{4} + \frac{1}{6} \).

Step3: Find common denominator

The common denominator of 4 and 6 is 12. So, \( \frac{1}{4} = \frac{3}{12} \), \( \frac{1}{6} = \frac{2}{12} \). Then \( \frac{1}{R_{eq}} = \frac{3}{12} + \frac{2}{12} = \frac{5}{12} \).

Step4: Solve for \( R_{eq} \)

Take the reciprocal: \( R_{eq} = \frac{12}{5} = 2.4 \, \Omega \).

• Ohms measure resistance, watts measure power, volts measure voltage. Electrical current is measured in amperes (amps).

Answer:

2.4 Ohms

Question 8