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
Artist 52 [7]
3 years ago
15

What is the total resistance of a parallel circuit that has two loads? Load one has a resistance of 10 ohms. Load two has a resi

stance of 24 ohms. (YOU MUST SHOW YOUR WORK)!!

Mathematics
1 answer:
Romashka-Z-Leto [24]3 years ago
3 0

Answer:

The total resistance is 7.0588\Omega

Step-by-step explanation:

Attached please find the circuit diagram. The circuit is composed by a voltage source and two resistors connected in parallel: R_1=10\Omega and R_2=24\Omega.

First step: find the total current

For finding the current that the voltage source can provide, you must find the current consumed by each load and then add both. To do that, take first into account that the voltage is the same for both resistors (R_1 and R_2).

  • I_{R_1}=\frac{V_S}{R_1}
  • I_{R_2}=\frac{V_S}{R_2}

The total current is:

I_{TOTAL}=I_{R_1}+I_{R_2}=\frac{V_S}{R_1}+\frac{V_S}{R_2}=\frac{R_2\cdot V_S+R_1\cdot V_S}{R_1\cdot R_2}

I_{TOTAL}=V_S\cdot \frac{R_1+R_2}{R_1\cdot R_2}

Now, the total resistance (R_{TOTAL}) would be the voltage divided by the total current:

R_{TOTAL}=\frac{V_S}{I_{TOTAL}}

If you replace I_{TOTAL} by the expression obtained previously, the total resistance would be:

R_{TOTAL}=\frac{V_S}{V_S\cdot \frac{R_1+R_2}{R_1\cdot R_2}}

After simplifying the terms you should get:

R_{TOTAL}=\frac{R_1\cdot R_2}{R_1 + R_2}}

Now, you must replace the values of the resistors:

R_{TOTAL}=\frac{(10\Omega )\cdot (24\Omega)}{10\Omega + 24\Omega}}=\frac{120}{17}\Omega=7.0588\Omega

Thus, the total resistance is 7.0588\Omega

You might be interested in
PLSSSSSSS HELP 100 POINTS [HMTL]Find the measure of side XY.
Dafna1 [17]

Answer:

C

Step-by-step explanation:

15/10=1.5 so 1.5 is the scale factor.

12x1.5=18. So the answer is C.

6 0
2 years ago
Read 2 more answers
One member of the debate team is going to be chosen president. each member is equally likely to be chosen. the probability that
inessss [21]
Let
x-------> <span>the probability that a boy is chosen
B------> </span>number of boys in the debate team
G------> number of girls in the debate team<span>

we know that
B+G=20-----> G=20-B-----> equation 1
</span>probability that a boy is chosen=number of boys in the debate team/total of people
so
x=B/20-------> equation 2

t<span>he probability that a girl is chosen is 2/3 the probability that a boy is chosen
</span>probability that a girl is chosen=(2/3)*x
probability that a girl is chosen=G/20
(2/3)*x=G/20-----> equation 3
substitute equation 1 in equation 3
(2/3)*x=[20-B]/20----> equation 4

resolve the equations system
x=B/20
(2/3)*x=[20-B]/20

using a graph tool
see the attached figure
the solution is
x=0.6
B=12
G=20-12-----> G=8

number of boys in the debate team is 12
number of girls in the debate team is 8
the probability that a boy is chosen is 0.6 ----> 60%
the probability that a girl is chosen is 0.6*(2/3)----> 0.4---> 40%

the answer is
number of girls in the debate team is 8

7 0
3 years ago
A rectangle has a length of 2 m and a width of 40 cm what is the perimeter of the rectangle ( show your work)
sweet [91]

Answer:

0.05 im pretty sure to my calcutor

Step-by-step explanation:

4 0
3 years ago
Lenore is going to sell T-shirts at a field hockeygame to raise money for the team. She findsa website that makes custom T-shirt
sertanlavr [38]
Ndndjdjsjsjsjdjsjsjdnd
5 0
2 years ago
A sphere rolls up an inclined plane of inclination angle 30 degree. At the bottom of the incline the center of mass of the spher
Zigmanuir [339]

Answer: The sphere is 0.002548 cm travel up the plane.

Step-by-step explanation:

Since we have given that

Inclination angle = 30°

Translational speed = 0.25 m/s

As we know that

KE=0.5\times lw^2=PE

and

Length of solid sphere is given by

l=\dfrac{2Mr^2}{5}

So, it becomes,

KE=0.5\times \dfrac{2Mr^2}{5}w^2=Mgd\sin \theta

And 0.25\ m/sv=rw

So, it becomes,

1\times (0.25)^2=5\times d\times 9.81\times \sin 30^\circ\\\\0.0625=49.05d\times \dfrac{1}{2}\\\\\dfrac{0.125}{49.05}=d\\\\d=0.002548

Hence, the sphere is 0.002548 cm travel up the plane.

5 0
3 years ago
Other questions:
  • Find the sum of 86331 and 909
    10·1 answer
  • What is 5 7/8 as an improper fraction?
    14·2 answers
  • Which of the following could represent the graph of f(x) = x4 + x3 – 8x2 – 12x?
    8·2 answers
  • When the elevator was out of service, Debi walked down 21 flights of stairs. She stopped to rest after every 3 flights. How many
    8·2 answers
  • Write the equations included in the same set of related facts as 6 ✖️8=48
    5·2 answers
  • Which statement describes how to geometrically determine the product of z = 25 – i and w = StartRoot 3 EndRoot + 3i on the compl
    8·2 answers
  • Margaret invested $2000 into an account earning 4% interest compounded continuously. How much will her investment be worth after
    13·1 answer
  • Please help! :) (Whoever answers first I'll give Brainlest!)
    5·1 answer
  • Which expression is equivalent to<br> 128x5y8<br> ?
    15·1 answer
  • What is (4)^-2? Please help I don't understand the topic and I need all the help I can get!
    14·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!