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Sveta_85 [38]
3 years ago
5

A 24 volt battery is connected to a 3Ω resistor and a 5Ω resistor in series. What is the current in the circuit?

Physics
1 answer:
Vladimir [108]3 years ago
7 0

Answer: 3 Amperes

Explanation:

Voltage of battery = 24 volts

R1 = 3Ω

R2 = 5Ω

Total resistance = ?

Current, I = ?

Since the resistors are connected in series, the total resistance (Rtotal) of the circuit is the sum of each resistance.

i.e Rtotal = R1 + R2

Rtotal = 3Ω + 5Ω = 8Ω

Now recall that voltage = current x resistance

i.e V = I x Rtotal

24volts = I x 8Ω

I = 24 volts / 8Ω

I = 3 amperes

Thus, there is 3 Amperes of current in the circuit

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The diagram for this question is shown on the first uploaded image  

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substituting  0.5m^3/s for R and \frac{\pi}{4}(12*\frac{1m}{100} )^2 for A_n

                    v_2 = \frac{0.5}{\frac{\pi}{4} * (12*\frac{1}{100} )^2 }

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                       v_1 = \frac{R}{A_p}

substituting  0.5m^3/s for R and \frac{\pi}{4}(30*\frac{1m}{100} )^2 for A_p

                                v_1 = \frac{0.5}{\frac{\pi}{4} * (30*\frac{1}{100} )^2 }

                                    = 7.07 m/s

\rho is he density of water with value \rho =1000 kg /m^3

Substituting values into the equation above

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                  i.e   \sum F_x =0

=>            F_y sin \ 30^o =\rho Q (v_2 -v_1 sin \ 30^o)

               Since The speed at both A and B nozzle are the same then v_2 remains the same

 Substituting values

               F_x sin30^o =1000 (0.5) (44.23 - 7.07*sin30)

=>                        F_x = 40.69kN

   Hence the force acting on the flange bolts required to hold the nozzle in place is

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                         = \sqrt{40.69 ^2 + 21.99^2}

                         F= 46.25kN

                 

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