### Problem Statement3. Two resistances \( R_1 = 3 \, \Omega \) and \( R_2 = 6 \, \Omega \) are connected in series with an ideal battery supplying a voltage of \( \Delta V = 9 \) Volts. - (a) Sketch this circuit diagram. - (b) Calculate the total resistance and current.### Instructions**(a) Circuit Diagram Sketch:**To sketch the circuit diagram:1. Draw a battery symbol with a label indicating it supplies 9 Volts.2. Connect a resistor labeled \( R_1 = 3 \, \Omega \) in series with the battery.3. Connect a second resistor labeled \( R_2 = 6 \, \Omega \) in series with \( R_1 \).**(b) Calculation of Total Resistance and Current:**1. **Total Resistance (\(R_{\text{total}}\)):** - Formula: \( R_{\text{total}} = R_1 + R_2 \) - Calculation: \( R_{\text{total}} = 3 \, \Omega + 6 \, \Omega = 9 \, \Omega \)2. **Current (\(I\)) Using Ohm’s Law:** - Formula: \( I = \frac{\Delta V}{R_{\text{total}}} \) - Calculation: \( I = \frac{9 \, \text{V}}{9 \, \Omega} = 1 \, \text{A} \)### ExplanationIn a series circuit, the total resistance is simply the sum of the individual resistances. The current flowing through the circuit can be determined by Ohm’s Law, where voltage divided by resistance gives the current.

R1 = 3 ohm R2 = 6 ohm ∆V = 9 volts

3. Two Resistances R1 = 3 N and R2 = 6 N are connected in series with an ideal battery supplying a voltage of AV = 9 Volts. (a) Sketch this circuit diagra (b) Calculate the total resistance and current.

3. Two Resistances R1 = 3 N and R2 = 6 N are connected in series with an ideal battery supplying a voltage of AV = 9 Volts. (a) Sketch this circuit diagra (b) Calculate the total resistance and current.

College Physics

1st Edition

ISBN:9781938168000

Author:Paul Peter Urone, Roger Hinrichs

Publisher:Paul Peter Urone, Roger Hinrichs

Chapter20: Electric Current, Resistance, And Ohm's Law

Section: Chapter Questions

Problem 52PE: What would be the maximum cost of a CFL such that the total cost (investment plus operating) would...

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