Question

At what rate is electric energy converted to internal energy in the resistors R1 and R2 in the figure? Let V1 = 9.60 V, V2 = 1.20 V, R1 = 3.60 ?, R2 = 3.40 ?, and R3 = 7.60 ?

Answer #1

For the upper loop, then, I1 R1 - I2 R2 must be 7.5 V.

For the inner loop, we have I2 R2 + I3 R3 = 1.6 V.

From Kirchoff's 1st Law, we have I1 + I2 = I3.

We now have 3 equations in the 3 unknown currents:

(A) 3.1 I1 - 3.0 I2 = 7.5

(B) 3.0 I2 + 8.4 I3 = 1.6

(C) I1 + I2 - I3 = 0

Eliminate I1 from A and C:

(D) 6.1 I2 - 3.1 I3 = -7.5

(3.1xB) 9.3 I2 + 26.04 I3 = 4.96

(8.4xD) 51.24 I2 - 26.04 I3 = -63.00

60.54 I2 = -58.04

I2 = -0.9857 amps...and this current runs BACKWARDS through the
smaller battery!

I3 = (1.6 + 2.876)/8.4 = 0.5329 amps

I1 = 1.5186 amps, runs in the "right" direction.

"Electric energy converted to internal energy"...P = I^2 R.

In R1, P = about 7 watts, but use calculator

In R2, P = about 3 watts, but use calculator

Total P for these two resistors is about 10 watts

Determine the equivalent resistance of resistors R1, R2, and R3
in (Figure 1) for R1 = 30 Ω , R2 = 30.0 Ω, and R3 = 15 Ω.
Determine the current through R1 if ε = 110 V .
Determine the current through R2. (units A)
Determine the current through R3. (units A)

In the circuit shown below, R1, R2, and
R3 are three resistors of different values,
R1 is greater than R2 and R2 is
greater than R3. ℰ is the electromotive force
of the battery whose internal resistance is negligible. Which of
the three resistors has the greatest current flowing through it?
Explain. Show your work

Three resistors (R1 = 36 Ω, R2 = 33 Ω,
R3 = 37 Ω) are connected in series to a 7 V battery as
shown. The internal resistance of the battery is negligible.
(a) What is the current flowing through R1
(b) What is the current flowing through R2
(c) What is the current flowing through R3
(d) What is the voltage across R1
(e) What is the voltage across R2
(f) What is the voltage across R3

Resistor R1=3.7 Ohm is connected in series to parallel combination
of resistors R2=7.9 Ohm and R3=11.1 Ohm. Find equivalent resistance
of this combination. Give answer in Ohms.
Resistor R1=3.7 Ohm is connected in series to parallel combination
of resistors R2=7.9 Ohm and R3=10.7 Ohm. This combination is
connected to the ideal battery of V=10.6 V. Find current through
the R3. Give answer in A.

In the figure ε1 = 4.47 V, ε2 = 1.05 V,
R1 = 5.46 Ω, R2 = 2.85 Ω,
R3 = 3.27 Ω, and both batteries are ideal. What
is the rate at which energy is dissipated in (a)
R1, (b)
R2, and (c)
R3? What is the power of (d)
battery 1 and (e) battery 2?

Consider a simple circuit with two resistors connected in
parallel.
R1 = 30.0 Ohm, R2 = 10.0 Ohm, and a 12 V battery
Calculate the following values to one decimal places (enter just
the number)
The equivalent resistance Ohms
The voltage across resistor R1 V
The voltage across resistor R2 V
The current through resistor R1 A
The current through resistor R2 A
Consider a simple circuit with two resistors connected in
series.
R1 = 1.0 Ohm, R2 = 7.0 Ohm, and a 12 V...

1.Three resistors, R1 =
10.5 µC, R2 = 10.5 µC and
R3 = 9.00 µC, are connected in
a series/parallel combination with a 24.0 v power supply. If R1 is
in series with the parallel combination of R2 and R3, what is the
current drawn from the power supply?
__________ A.
2. A solenoid has a length of 20.00 cm and 400.0 turns. If it
has a magnet field of 17.5 mT at its center, what is the current in...

Four resistors R1=R2 =1Kohm, R3=R4=2Kohm, are connected in
series, and their combination is connected in parallel with
R5=2Kohm and R6=3Kohm. An ammeter measures an electric current of
3mA flowing through the resistor R5. What is the voltage applied to
the circuit

Resistor R1=3.7 Ohm is connected in series to parallel
combination of resistors R2=7.9 Ohm and R3=11.1 Ohm. This
combination is connected to the ideal battery of V=10.6 V. Find
voltage drop on the resistor 7.9. Give answer in V.

You have two resistors, R1 and R2, and you know that R1 = 10 kΩ.
You set up the voltage divider circuit shown in Fig. 7.9 where the
battery voltage, V0, is 9 V. You measure Vout to be 3 V. What is
the value of R2?

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 8 minutes ago

asked 27 minutes ago

asked 28 minutes ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 2 hours ago

asked 2 hours ago

asked 2 hours ago

asked 3 hours ago

asked 3 hours ago