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
storchak [24]
2 years ago
12

Two resistors have resistances R(smaller) and R(larger), where R(smaller) < R(larger). When the resistors are connected in se

ries to a 12.0-V battery, the current from the battery is 2.00 A. When the resistors are connected in parallel to the battery, the total current from the battery is 10.2 A. Determine the two resistances.
Physics
1 answer:
just olya [345]2 years ago
5 0

Answer:

1.61ohms and 4.39ohms

Explanation:

According to ohm's law which States that the current (I) passing through a metallic conductor at constant temperature is directly proportional to the potential difference (V) across its ends. Mathematically, E = IRt where;

E is the electromotive force

I is the current

Rt is the effective resistance

Let the resistances be R and r

When the resistors are connected in series to a 12.0-V battery and the current from the battery is 2.00 A, the equation becomes;

12 = 2(R+r)

Rt = R+r (connection in series)

6 = R+r ...(1)

If the resistors are connected in parallel to the battery and the total current from the battery is 10.2 A, the equation will become;

12 = 10.2(1/R+1/r)

Since 1/Rt = 1/R+1/r (parallel connection)

Rt = R×r/R+r

12 = 10.2(Rr/R+r)

12(R+r) = 10.2Rr ... (2)

Solving equation 1 and 2 simultaneously to get the resistances. From (1), R = 6-r...(3)

Substituting equation 3 into 2 we have;

12{(6-r)+r} = 10.2(6-r)r

12(6-r+r) = 10.2(6r-r²)

72 = 10.2(6r-r²)

36 = 5.1(6r-r²)

36 = 30.6r-5.1r²

5.1r²-30.6r +36 =

r = 30.6±√30.6²-4(5.1)(36)/2(5.1)

r = 30.6±√936.36-734.4/10.2

r = 30.6±√201.96/10.2

r = 30.6±14.2/10.2

r = 44.8/10.2 and r = 16.4/10.2

r = 4.39 and 1.61ohms

Since R+r = 6

R+1.61 = 6

R = 6-1.61

R = 4.39ohms

Therefore the resistances are 1.61ohms and 4.39ohms

You might be interested in
You have to run 2.2 miles in track. How far is that in feet? There are 5280 feet in 1 mile
Greeley [361]

Answer:

11616ft^{2} or 11616

Explanation:

Since there are 5280 feet in 1 mile

you do 2.2 × 5280

2.2 × 5280 = 11616

8 0
2 years ago
A pendulum is lifted and released, causing the pendulum to oscillate in
kap26 [50]

Answer:

D. Energy is converted between kinetic and gravitational potential energy.

Explanation:

8 0
2 years ago
How is kinetic energy related to the distance
astra-53 [7]

Kinetic energy =

1/2 (mass) • (velocity squared).

I don't see distance in that formula anywhere, so they're not related.

8 0
3 years ago
Read 2 more answers
Which atmospheric layer prevents meteoroids from reaching earth’s surface
Natalija [7]
Stratosphere because the atmosphere get denser
5 0
3 years ago
Gaseous helium is in thermal equilibrium with liquid helium at 6.4 K. The mass of a helium atom is 6.65 × 10−27 kg and Boltzmann
chubhunter [2.5K]

Answer:

162.78 m/s is the most probable speed of a helium atom.

Explanation:

The most probable speed:

v_{mp}=\sqrt{\frac{2K_bT}{m}}

K_b= Boltzmann’s constant =1.38066\times 10^{-23} J/K

T = temperature of the gas

m = mass of the gas particle.

Given, m = 6.65\times 10^{-27} kg

T = 6.4 K

Substituting all the given values :

v_{mp}=\sqrt{\frac{2\times 1.38066\times 10^{-23} J/K\times 6.4 K}{6.65\times 10^{-27} kg}}

v_{mp}=162.78 m/s

162.78 m/s is the most probable speed of a helium atom.

4 0
3 years ago
Other questions:
  • A Frisbee of radius 0.15 m is accelerating at a constant rate from 7.1 revolutions per second to 9.3 revolutions per second in 6
    12·1 answer
  • If you kick a tennis ball with 50 N of force and then kick a soccer ball with 50 N of force, explain the difference in their mot
    5·1 answer
  • If you are in motion can you have the same speed as someone else in motion but different velocities? Give an example
    9·1 answer
  • 11. Newton's Third Law of Motion relates to action and reaction. Which of the following scenarios accurately names the
    11·1 answer
  • The mass of an object with 500j of kenetic energy moving with a velocity of 5 m/s is
    8·1 answer
  • The the symptoms and treatments for these common nervous system
    13·1 answer
  • Car B is being pushed by a force of 22000 N. If it has a mass of 1375 kg.,
    7·1 answer
  • A 100g object begins falling from a height of 5 meters. If g, the acceleration of gravity, is 10 m/s2, how long do you calculate
    5·1 answer
  • 3. What is the acceleration of a car at rest that stays at rest over 10 seconds?
    6·1 answer
  • Is ironing clothes conduction, convection, or radiation?
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!