Question

Questions 15–17 all refer to the below circuit diagram. If both switches $S_{1}$ and $S_{2}$ are left in the unconnected positions, what is the current through the resistor labeled $R$ ? (A) 0 (B) $\frac{15\left(V_{1}+V_{2}\right)}{68 R}$ (C) $\frac{15\left(V_{1}+V_{2}\right)}{103 R}$ (D) $\frac{15\left(V_{2}-V_{1}\right)}{68 R}$

Name: Problem 17, Chapter 1: Cracking The AP Physics 1 Exam
Uploaded: 2021-04-12T19:58:47-08:00
Duration: 1 min 27 s
Channel: Nishant Kumar
Description: Questions 15–17 all refer to the below circuit diagram. If both switches S1 and S2 are left in the unconnected positions, what is the current through the resistor labeled R ? (A) 0 (B) (15(V1+V2))/(68 R) (C) (15(V1+V2))/(103 R) (D) (15(V2-V1))/(68 R)

   Questions 15–17 all refer to the below circuit diagram.
If both switches $S_{1}$ and $S_{2}$ are left in the unconnected positions, what
is the current through the resistor labeled $R$ ?
(A) 0
(B) $\frac{15\left(V_{1}+V_{2}\right)}{68 R}$
(C) $\frac{15\left(V_{1}+V_{2}\right)}{103 R}$
(D) $\frac{15\left(V_{2}-V_{1}\right)}{68 R}$

Cracking The AP Physics 1 Exam

Robert Franek 1st Edition

Chapter 1, Problem 17

Instant Answer

Solved by Expert Nishant Kumar

04/12/2021

Step 1

This means that there is no path for the current to flow from the voltage sources to the resistor $R$. Show more…

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Questions 15–17 all refer to the below circuit diagram. If both switches $S_{1}$ and $S_{2}$ are left in the unconnected positions, what is the current through the resistor labeled $R$ ? (A) 0 (B) $\frac{15\left(V_{1}+V_{2}\right)}{68 R}$ (C) $\frac{15\left(V_{1}+V_{2}\right)}{103 R}$ (D) $\frac{15\left(V_{2}-V_{1}\right)}{68 R}$

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Key Concepts

Open Circuit Condition

This concept refers to a situation in an electrical circuit when a component, such as a switch, is not connected, breaking the continuity of the circuit. Without a complete path, no current can flow regardless of any voltage present elsewhere in the circuit.

Switch Operation

Switches control the connectivity within circuits. When a switch is left in an unconnected or open position, it prevents current from flowing in that branch by effectively opening the circuit.

Resistor Behavior in Incomplete Circuits

A resistor’s function is to impede current flow based on Ohm’s law when there is a complete circuit. In the case of an open circuit, however, even though the resistor is present, no current flows through it because there is no path for the current to travel.

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