Physics, 01.04.2020 21:23 morgan3346

Three resistors connected in parallel have individual values of 4.0, 6.0, and 10.0 Ω, respectively. If this combination is connected in series with a 12-V battery and a 2.0- Ω resistor, what is the current in the 10.0- Ω resistor?

Answers: 2

Show answers

Answers

Answer from: derekmartinez

The current flowing in the 10 ohms resistor is 2.87 A.

The given parameters:

Resistors = 4.0 ohms, 6.0 ohms and 10.0 ohmsVoltage, = 12 Vresistor in series = 2.0 ohms

The equivalent resistance of the parallel resistors is calculated as follows;

$\frac{1}{R} = \frac{1}{R_1} + \frac{1}{R_2} + \frac{1}{R_3} \\\\\frac{1}{R} = \frac{R_2R_3 + R_1 R_3 + R_1 R_2}{R_1R_2R_3} \\\\R = \frac{R_1 R_2 R_ 3}{R_2R_3 + R_1 R_3 + R_1 R_2} \\\\R = \frac{4 \times 6 \times 10}{(6\times 10) + (4 \times 10)+(4 \times 6)} \\\\R = 2.18 \ ohms$

The total resistance with 2.0 ohms series resistor

R = 2.18 + 2.0

R = 4.18 ohms

The current flowing in all the series resistors is calculated as follows;

V = IR

$I = \frac{V}{R} \\\\I = \frac{12}{4.18} \\\\I = 2.87 \ A$

Thus, the current flowing in the 10 ohms resistor is 2.87 A.

Learn more about series and parallel circuit here: link

Answer from: rileyeddins1010

The current in the 10.0- Ω resistor is 1.16A

Explanation:

When resistors are connected in series, they are have the same current.

When they are in parallel, their current is divided.

The equivalent resistance of parallel resistors R1 and R2 is:

Req = R1*R2/(R1 + R2)

Initially, we use Ohm's Rule to solve this question.

V = Ri

In which V is the Voltage, R is the resistence and i is the current.

Among two resistors, R1 and R2, in parralel, we have that

iR1 = i(0)R2/(R1 + R2)

In which i(0) is the current entering.

Three resistors connected in parallel have individual values of 4.0, 6.0, and 10.0 Ω, respectively. In series with a 12-V battery and a 2.0- Ω resistor.

The current entering the parallel is the same current as it is for the 2.0- Ω resistor, with 12 V.

It is

V = Ri

12 = 2i

i = 6A

This means that i(0) = 6A.

4.0, 6.0, and 10.0 Ω in parallel

We want the current in the 10.0 Ω resistor.

The current divisor is not applicable with 3 resistors. However, we can calculate the equivalent resistance for the resistors of 4 and 6, and then the current divisor with the 10. So

Req = 4*6/(4+6) = 2.4

iR10 = 6*2.4/(10 + 2.4) = 1.16

The current in the 10.0- Ω resistor is 1.16A

Answer from: Quest

i had this question and the answer was 3.15 miles.

martina travels from school to her mom's office. from there, she walks to school. after school, she walks to the library and then to a friends house before finally ending back at home. find martina's total distance traveled.

a) 0 miles

b) 0.4 miles

c) 1 mile

d) 3.15 miles

Answer from: Quest

The answer is a.first and third quarters

Another question on Physics

Physics, 22.06.2019 02:00

How does the amount of energy required to hold each proton and neutron in the nucleus compare to the energy released when they are removed?

Answers: 3

Answer

Physics, 22.06.2019 12:10

Light traveling in water, nwater = 1.33, strikes a plastic block at an angle of incidence of 51.4°; part of the beam is reflected and part is refracted. if the index of refraction of the plastic is 2.0, what is the angle made by the reflected and refracted beams?

Answers: 2

Answer

Physics, 22.06.2019 22:00

Four friends, a, b, c, and d are standing varying distances away from a speaker which is producing sound waves.

Answers: 2

Answer

Physics, 22.06.2019 23:00

During the past 150 years in the united states, how did energy consumption compare to population growth

Answers: 1

Answer

You know the right answer?

Three resistors connected in parallel have individual values of 4.0, 6.0, and 10.0 Ω, respectively....