Question

In the figure ε_{1} = 4.47 V, ε_{2} = 1.05 V,
*R*_{1} = 5.46 Ω, *R*_{2} = 2.85 Ω,
*R*_{3} = 3.27 Ω, and both batteries are ideal. What
is the rate at which energy is dissipated in **(a)**
*R*_{1}, **(b)**
*R*_{2}, and **(c)**
*R*_{3}? What is the power of **(d)**
battery 1 and **(e)** battery 2?

Answer #1

Let I_{1} be current from E_{1} and
I_{2} be current from E_{2}.

Applying KVL on left loop

E_{1}-I_{1}R_{1}-(I_{1}+I_{2})R_{3}=0

8.73I_{1}+3.27I_{2}=4.47----------------1

Applying KVL on right loop

E_{2}-I_{2}R_{2}-(I_{1}+I_{2})R_{3}=0

3.27I_{1}+6.12I_{2}=1.05----------2

Solving 1 and 2 we get

I_{1}=0.5598 A

I_{2}=-0.12754 A

a)

Power dissipated in R1 is

P_{1}=I_{1}^{2}R_{1}=0.5598^{2}*5.46=1.711
Watts

b)

Power dissipated in R2 is

P_{2}=I_{2}^{2}R_{2}=(-0.12754)^{2}*2.85
=0.04636 Watts

c)

Power dissipated in R3 is

P_{3}=(0.5598-0.12754)^{2}*3.27=0.611 Watts

d)

P_{E1}=0.5598*4.47=2.502 Watts

e)

P_{E2}=0.12754*1.05=-0.134 Watts

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

Three resistors having resistances of R1 = 1.52 Ω ,
R2 = 2.32 Ω and R3 = 4.94 Ω respectively, are
connected in series to a 28.4 V battery that has negligible
internal resistance.
Find the equivalent resistance of the combination.
Find the current in each resistor.
Find the total current through the battery.
Find the voltage across each resistor.
Find the power dissipated in each resistor.
Which resistor dissipates the most power, the one with the
greatest resistance or...

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)

Consider the circuit shown in the figure below, where
R1 = 5.00 Ω,
R2 = 8.00 Ω,
and
= 6.00 V.
A rectangular circuit begins at the positive terminal of a
battery labeled emf ℰ, which is on the bottom side of the
rectangle. The circuit extends up and to the left to a 2.00 Ω
resistor on the top side of the rectangle. To the right of the 2.00
Ω resistor, the circuit splits into two parallel horizontal
branches....

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 ?

Find the current in the 12-Ω resistor in the figure below.
(Assume R1 = R3 = 2.8 Ω, R2 = R4 = 7.8 Ω, ΔV = 23 V.) A
A rectangular circuit begins at the positive terminal of a
battery labeled ΔV which is on the bottom side of the rectangle.
The positive terminal is to the left of the negative terminal. The
circuit extends left, up and then right to a resistor labeled R3 on
the top side of...

In the figure assume that ε = 4.1 V, r = 120 Ω,
R1 = 230 Ω, and R2 = 390 Ω.
If the voltmeter resistance is RV = 4.9 kΩ,
what percent error (including sign) does it introduce into the
measurement of the potential difference across
R1? Ignore the presence of the ammeter.

Draw the circuit below, assign a name to the current in
R1 and R2 and indicate which direction it
flows.
Assuming that the values for the Resistors and Batteries were
given, write a system of equations that could be solved to find the
current in each of the branches of the circuit. For each equation –
state where it comes from. (e.g., state the physics principle, law,
theorem, rule, etc. that leads to the equation you wrote)
Now assume the...

Resistors R1 = 20 W, R2 = 40 W,
and R3 = 60 W, are all connected in series with one
another. The combination of three resisters in series is
now connected in parallel with a 240 W resistor, and the resulting
circuit is connected across an ideal 62.5 volt battery.
a) Find the equivalent resistance connected across the
battery.
b) Find the potential across each of the four resistors, and the
current through each.
c) Find the power dissipated by...

Assume that E = 59.5 V . The battery has negligible internal
resistance
I cant copy the picture, but R1= 3.00 Ω ,
R2=
6.00 Ω(underneath R1) , R3(right next to R1)= 12.00 Ω,
R4(Underneath
R3)= 4.00Ω
A) Compute the equivalent resistance of the network
B) Find the current in the 3.00 Ω resistor.
C) Find the current in the 6.00 Ω resistor.
D) Find the current in the 12.0 Ω resistor.
E) Find the current in the 4.00 Ω...

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 16 minutes ago

asked 22 minutes ago

asked 25 minutes ago

asked 45 minutes ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 2 hours ago