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Problem 16 Easy Difficulty

(a) Is it possible to reduce the circuit shown in Figure P 18.16 to a single equivalent resistor connected across the battery? Explain. (b) Find the current in the $2.00-\Omega$ resistor. (c) Calculate the power delivered by the battery to the circuit.

Answer

a. 8.00 \Omega
b. 2.25 A
c. 40.5 \mathrm{W}

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Video Transcript

in order to find a single violent resistance, we need to reduce the circuit. So as we observe the circuit step A would be we need to find the leak. You added resistance right down to our intra distance between six home and to you, like the three young bad logistics home. So we'll use the formula that is three into six upon three plus six since they're battling, which is coming guestrooms, so we'll draw the soak it accordingly. So here the circle becomes there will be eating Bull's to Warm isn't CDs with eating at the same time, the corral and resistance, which we have got currently, and Forum, which was previously connected, and the current, which will throw to the Endesa Good Seats dinner date as I so in this case. Therefore, since the same current flows through the circuit R E Q. Alland is equal to do to bless to bless four, which is equal to a DMZ, and this particular a dome indicates that it is a single equivalent resistance connected across the battery. So where do you know who does a battery off 18 world with a tomb connected across? This is a violent resistance on which is an answer to sub questions, Eh? It's considered to be where we need to find current into a register. Well, you noted as I tomb, which will be actually the same current, we're just going to the circuit. So it will be a show off 18 world to eight domes. So it is two point do fire and peers. Therefore the current which is flowing through groom resistance will be off who point to find Pierce. And this is on certain sub question. Be steps. See, that is power. Did he would by the battery through the circuit that we need to find out which is you noted SB be circuit, which will be, ah, my competition of war. Gage and the current now hear the batteries off Radian wound Monkey glide by total current, which is off 2.25 years. Maybe calculated days. Get down said as 40.5 watch. Since it is a power. So therefore power delivered to the circuit. He's a 40 point five wars. This is, though, to answer

Top Physics 102 Electricity and Magnetism Educators
Elyse G.

Cornell University

Marshall S.

University of Washington

Farnaz M.

Other Schools

Zachary M.

Hope College

Physics 102 Electricity and Magnetism Bootcamp

Lectures

Join Bootcamp