Question

module 3b kirchhoffs loop rule conceptual question the circuit shown below in (figure 1) consists of four different resistors and a battery. you dont know the strength of the battery or the value any of the four select the expressions that will be equal to the voltage of the battery in the circuit, where $delta v_{a}$, for example, is the potential drop across resistor a select all that apply. view available hint(s) $delta v_{a}+delta v_{b}$ $delta v_{a}+delta v_{c}$ $delta v_{b}+delta v_{c}$ $delta v_{a}+delta v_{b}+delta v_{c}$ $delta v_{a}+delta v_{b}+delta v_{c}+delta v_{d}$ $delta v_{a}+delta v_{d}$ $delta v_{d}$

Explanation:

Step1: Recall Kirchhoff's loop rule

Kirchhoff's loop rule states that the sum of the potential differences (voltage drops) around any closed - loop in a circuit is equal to the emf (electromotive force) of the battery in that loop. In a series - parallel circuit like this one, for the outer loop, the sum of the voltage drops across all the resistors in the loop is equal to the battery voltage.

Step2: Analyze the circuit

Resistors A, B, C are in parallel combinations and then in series with resistor D. The voltage across the battery is equal to the sum of the voltage drops across all the resistors in the outer - most loop. The voltage drops across A, B, C in parallel are not added directly in a simple sum to get the battery voltage. The sum of the voltage drops across all the resistors in the outer loop is $\Delta V_A+\Delta V_B+\Delta V_C+\Delta V_D$.

Answer:

$\Delta V_A+\Delta V_B+\Delta V_C+\Delta V_D$