Question

In this example we will use the concept of equivalent resistance to determine the current in a circuit. Three identical resistors with resistances of 6.0 Omega are connected as shown in (Figure 1) to a battery with an emf of 18.0 V and zero internal resistance. (a) Find the equivalent resistance of the resistor network. (b) Find the current in each resistor. What is the current through $R_1$ in the network in this example if the resistors aren't equal, but instead $R_1 = 1.0 Omega$, $R_2 = 5.0 Omega$, and $R_3 = 3.0 Omega$? Express your answer in amperes to two significant figures. Figure $mathcal{E} = 18.0 ext{ V}, r = 0$ $R_1 = 6.0 Omega$ $R_2 = 6.0 Omega$ $R_3 = 6.0 Omega$ Part B - Practice Problem: What is the current through $R_2$ in the network in this example if the resistors aren't equal, but instead $R_1 = 1.0 Omega$, $R_2 = 5.0 Omega$, and $R_3 = 3.0 Omega$? Express your answer in amperes to two significant figures. Part C - Practice Problem: What is the current through $R_3$ in the network in this example if the resistors aren't equal, but instead $R_1 = 1.0 Omega$, $R_2 = 5.0 Omega$, and $R_3 = 3.0 Omega$? Express your answer in amperes to two significant figures.

          In this example we will use the concept of equivalent resistance to determine the
current in a circuit. Three identical resistors with resistances of 6.0 Omega are connected as
shown in (Figure 1) to a battery with an emf of 18.0 V and zero internal resistance. (a)
Find the equivalent resistance of the resistor network. (b) Find the current in each
resistor.
What is the current through $R_1$ in the network in this example if the
resistors aren't equal, but instead $R_1 = 1.0 Omega$, $R_2 = 5.0 Omega$, and
$R_3 = 3.0 Omega$?
Express your answer in amperes to two significant figures.
Figure
$mathcal{E} = 18.0 	ext{ V}, r = 0$
$R_1 = 6.0 Omega$
$R_2 = 6.0 Omega$
$R_3 = 6.0 Omega$
Part B - Practice Problem:
What is the current through $R_2$ in the network in this example if the
resistors aren't equal, but instead $R_1 = 1.0 Omega$, $R_2 = 5.0 Omega$, and
$R_3 = 3.0 Omega$?
Express your answer in amperes to two significant figures.
Part C - Practice Problem:
What is the current through $R_3$ in the network in this example if the
resistors aren't equal, but instead $R_1 = 1.0 Omega$, $R_2 = 5.0 Omega$, and
$R_3 = 3.0 Omega$?
Express your answer in amperes to two significant figures.

In this example we will use the concept of equivalent resistance to determine the
current in a circuit. Three identical resistors with resistances of 6.0 Omega are connected as
shown in (Figure 1) to a battery with an emf of 18.0 V and zero internal resistance. (a)
Find the equivalent resistance of the resistor network. (b) Find the current in each
resistor.
What is the current through R1 in the network in this example if the
resistors aren't equal, but instead R1 = 1.0 Omega, R2 = 5.0 Omega, and
R3 = 3.0 Omega?
Express your answer in amperes to two significant figures.
Figure
mathcalE = 18.0 ext V, r = 0
R1 = 6.0 Omega
R2 = 6.0 Omega
R3 = 6.0 Omega
Part B - Practice Problem:
What is the current through R2 in the network in this example if the
resistors aren't equal, but instead R1 = 1.0 Omega, R2 = 5.0 Omega, and
R3 = 3.0 Omega?
Express your answer in amperes to two significant figures.
Part C - Practice Problem:
What is the current through R3 in the network in this example if the
resistors aren't equal, but instead R1 = 1.0 Omega, R2 = 5.0 Omega, and
R3 = 3.0 Omega?
Express your answer in amperes to two significant figures.

Added by Amber V.

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