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A 40.0$\Omega$ resistor and a 90.0$\Omega$ resistor are connected in parallel, and the combination is connected across a $120-\mathrm{V}$ dc line. (a) What is the resistance of the parallel combination? (b) What is the total current through the parallel combination? (c) What is the current through each resistor?

a. $$R_{e q} \square[27.7 \Omega$$b. $$4.33 \mathrm{A}$$c. $$3.00 A$$$$1.33 A$$

Physics 102 Electricity and Magnetism

Chapter 19

Current, Resistance, and Direct-Current Circuit

Electric Charge and Electric Field

Gauss's Law

Electric Potential

Capacitance and Dielectrics

Current, Resistance, and Electromotive Force

Direct-Current Circuits

Electromagnetic Induction

Cornell University

Rutgers, The State University of New Jersey

Simon Fraser University

Hope College

Lectures

10:31

A capacitor is a passive two-terminal electrical component that stores electrical energy in an electric field. The effect of a capacitor is known as capacitance. The electrical charge stored in a capacitor is proportional to the potential difference between its terminals. A capacitor is defined as an electrical component that can store an electric charge. The effect of a capacitor is known as capacitance. The charge on a capacitor is directly proportional to the potential difference across its terminals. The unit of capacitance in the International System of Units (SI) is the farad (F), defined as one coulomb per volt. In electrical engineering, a common symbol for capacitance is the lowercase Greek letter "rho" (?). The capacitance of a capacitor is also expressed in farads.

18:38

In physics, electric flux is a measure of the quantity of electric charge passing through a surface. It is used in the study of electromagnetic radiation. The SI unit of electric flux is the weber (symbol: Wb). The electric flux through a surface is calculated by dividing the electric charge passing through the surface by the area of the surface, and multiplying by the permittivity of free space (the permittivity of vacuum is used in the case of a vacuum). The electric flux through a closed surface is zero, by Gauss's law.

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Here we have 40 home rister and the 90 hem raster are connected in parallel with the batter of m. F. 120 volt point. So here we have first raise store, is 40 hem and second store having value of 9 thom and the amen of a battery is 120 volt. Now, in the first part of this problem, we want to calculate the equivalent resistance of these, both resistors, as in peril connection, we have this brocelof equivalent resistance is equal to reciprocal of first rastance, plus reciprocal of second resistance now by putting different values here. So this broken of equivalent resistance is equal to 1. Over r. 1 is 40 and r 2 is 90 chum. So, by solving this equation for r, we have value of r equal to 27.69. Now, in the second part of this problem, we want to calculate currents flowing in the circuit, so as by using osilo, we have i equal to voltage of bit upon r equivalent voltage battery is 120 volt and r equivalent is 27.69. Oh, so we have total current in the circuit equal to 4.33 ampere. Now, in the c part of this problem, we want to calculate current flowing through 40 uraster and 90 home raise terit so far forth. Rister, who earn is equal to voltage upon resistance, as in parallel combination, voltage across a register is the same and equal to t. So here voltage is my that is 1 hund, 20 volt and resistance of r 1 is 40, so we have current to phases or equal to 3 ampere. Now, for a second register having value of 9 tohmwehave, i 2 equal to here again voltage upon restante voltage across 9. Tom raiser is equal to m f battery, that is, 120 volt upon resistance is 90, so we have a current flowing through 92 ohm raise ter equal to 1.33 ampere, there's to end up the problem, thanks for watching.

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