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murzikaleks [220]
3 years ago
15

In a series RL circuit, ET = 120 V, R = 40 Ω, and XL = 30 Ω. What is ER?

Mathematics
1 answer:
Delvig [45]3 years ago
7 0

Answer:

The voltage across resistor is E_{R}=96V

Step-by-step explanation:

We are given with Voltage across terminals of a series RL circuit, E_{T}=120V

And Resistance R=40Ω

And inductor reactance X_{L}=30Ω

Since Resistor and inductor are in series, same current flows through both.

And that current, I = \frac{E_{T}} {Z}

                             =\frac{120}{\sqrt{40^{2}+30^{2}}}= \frac{120}{\sqrt{2500}}

                            = \frac{120}{50}=2.4A

Therefore voltage across resistor, E_{R}=IR=2.4X40=96V

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Answer:

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Step-by-step explanation:

As per<u> cramer's rule</u>,

D = |   7    6    4  |  = 0

      |   3    3    3  |

      |   4    4    4  |

Dx =  |  10    6    4  | = 4

        |   1    3    3    |

        |   2    4    4   |

Dy = |   7    10    4  | = -6

       |   3    1     3   |

       |   4    2    4   |

Dz =  |  7    6    10 | = 2

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