1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
luda_lava [24]
3 years ago
15

Determine the current in the 7-ohm resistor for the circuit shown in the figure. Assume that the batteries are ideal and that al

l numbers are accurate to two significant figures. Also determine the current for the 8-ohm and the 4-ohm resistors. Please show your work

Physics
1 answer:
seraphim [82]3 years ago
4 0

Answer:

I₁ = 1.6 A (through 7 Ohm Resistor)

I₂ = 1.3 A (through 8 Ohm Resistor)

I₃ = I₁ - I₂ = 1.6 A - 1.3 A = 0.3 A (through 4 Ohm Resistor)

Explanation:

Here we consider two loops doe applying Kirchhoff's Voltage Law (KVL). The 1st loop is the left side one with a voltage source of 12 V and the 2nd Loop is the right side one with a voltage source of 9 V. We name the sources and resistor's as follows:

R₁ = 7 Ω

R₂ = 4 Ω

R₃ = 8 Ω

V₁ = 12 V

V₂ = 9 V

Now, we apply KVL to 1st Loop:

V₁ = I₁R₁ + (I₁ - I₂)R₂

12 = 7I₁ + (I₁ - I₂)(4)

12 = 7I₁ + 4I₁ - 4I₂

I₁ = (12 + 4 I₂)/11   ------------ equation (1)

Now, we apply KVL to 2nd Loop:

V₂ = (I₂ - I₁)R₂ + I₂R₃

9 = (I₂ - I₁)(4) + 8I₂

9 = 4I₂ - 4I₁ + 8I₂

9 = 12I₂ - 4I₁   -------------- equation (2)

using equation (1)

9 = 12I₂ - 4[(12 + 4 I₂)/11]

99 = 132 I₂ -  48 - 16 I₂

147 = 116 I₂

I₂ = 147/116

I₂ = 1.3 A

use this value in equation 2:

9 = 12(1.3 A) - 4I₁

4I₁ = 15.6 - 9

I₁ = 6.6 A/4

I₁ = 1.6 A

Hence, the currents through all resistors are:

<u>I₁ = 1.6 A (through 7 Ohm Resistor)</u>

<u>I₂ = 1.3 A (through 8 Ohm Resistor)</u>

<u>I₃ = I₁ - I₂ = 1.6 A - 1.3 A = 0.3 A (through 4 Ohm Resistor)</u>

You might be interested in
Froghopper insects have a typical mass of around 11.3 mg and can jump to a height of 58.8 cm. The takeoff velocity is achieved a
allochka39001 [22]

Answer:

2874.33 m/s²

Explanation:

t = Time taken

u = Initial velocity

v = Final velocity

s = Displacement

a = Acceleration

g = Acceleration due to gravity = 9.81 m/s²

v^2-u^2=2as\\\Rightarrow a=\frac{v^2-u^2}{2s}\\\Rightarrow a=\frac{v^2-0^2}{2\times h}\\\Rightarrow v^2=2ah\ m/s

Now H-h = 0.588 - 0.002 = 0.586 m

The final velocity will be the initial velocity

v^2-u^2=2as\\\Rightarrow 0^2-u^2=2gs\\\Rightarrow -2ah=2\times g(H-h)\\\Rightarrow -2a0.002=2\times g0.586\\\Rightarrow a=-\frac{0.586\times -9.81}{0.002}\\\Rightarrow a=2874.33\ m/s^2

Acceleration of the frog is 2874.33 m/s²

6 0
3 years ago
If two is company and three is a crowd, what is 4 and 5?
LiRa [457]

4 and 5 is 9

(4 + 5)

4 0
3 years ago
Read 2 more answers
Write a hypothesis about the use of an object’s physical characteristics to determine its density. Use the format "if . . . then
mash [69]
For this case you must first know the definition of density.
 D = m / v
 where,
 m: mass
 v: volume.
 You can then write the following hypothesis:
 IF you know two physical characteristics of an object then you can determine the density. First weigh the object, THEN measure its volume BECAUSE the density is the quotient between the mass and the volume of an object.
5 0
3 years ago
Read 2 more answers
If NEPA charges 5k per kWh, what is the cost of
tiny-mole [99]

Answer:

24k

Explanation:

We multiply by 200V by 24

8 0
2 years ago
I AM........ INEVITABLE
Archy [21]

Answer:

that's nice very nice super duper nicer

5 0
3 years ago
Other questions:
  • A laser beam of wavelength 439.4 nm is inci- dent on two slits 0.306 mm apart.
    6·1 answer
  • Energy is inversely proportional to the wavelength of a wave. Which would have the GREATEST energy? A wave with a
    5·1 answer
  • The set of points in a plane that are equidistant from a given point form a ____.
    6·2 answers
  • Which of the following would have the highest power rating? 100 joules of energy used in 0.5 seconds 500 joules of energy used i
    9·2 answers
  • A straight wire carries a current of 10 A at an angle of 30° with respect to the direction of a uniform 0.30-T magnetic field. F
    7·2 answers
  • Why can the Hubble space telescope make very detailed images in visible light
    5·1 answer
  • All of the following are electromagnetic waves except
    15·1 answer
  • michelle withdrew 120$ from her bank account. she now has 3345$ in her account qrite and solve an equation to find how much mone
    7·2 answers
  • A moving car has 2000 J of kinetic energy. If the speed doubles, how much kinetic energy would it have?
    13·1 answer
  • If the distance between two objects is tripled, what happens
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!