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Problem 4 Easy Difficulty

A battery with a $0.100-\Omega$ internal resistance supplies 15.0 $\mathrm{W}$ of total power with a 9.00 $\mathrm{V}$ terminal voltage. Determine (a) the current $I$ and (b) the power delivered to the load resistor.

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Video Transcript

Let's George down the leader, Frist, as it is, given that internal resistance off the battery. So we'll just write down the data in during the resistance of the battery, which is denoted as it's Mornar. Value is 0.1 Home due to power is giving us 15 words. At the same time, the terminal ward ish is giving us nine words, and we need to find a current. So when, because of the steppe A, we can directly use the formula. Power is equal to my duplication off old age and current, and from this we can get the value of current. So I is a ratio B to B about is giving us 15 watts mortgages given as night wards. Therefore, the current flowing to the circuit is off one point 67 amperes. Let's go to the step Hey, In order to find power delivered to the lower register first we need to get the value of lower register here and which is denoted as our bill. Yeah, by simply using arms law, which is reason Quito I into our But in this case it will not be just armed, but a combination of low resistance as well as in general distance, simply because of the fact that if I make a circuit something like this, this is the little registers that has been a dashed. This is the battery, which is having in during the resistance smaller. And this is a gun. We're just going through it. So dead, for by using this equation, we can use nine. Gold is equal to value. If eyes 1.67 amperes in bracket are in value, we need to find out on during the resistance is given a 0.1 home to be articulation of 92 Important 67 which is coming as 5.38 He's equal to R L. This 0.1. Moms get four. We'll get the value of fighting as 5.2 yate minus 0.1 home. We're just coming as 5.28 homes get four load registers. He's off 5.28 arms. This is a value that we get Should this to find the power delivered to the low resistance should write it down. Bob were delivered to auto, which is you noted as sit be ill. So therefore, our daily work the low resistance is a combination. Off I square Angelo registers value of I that we already got 1.67 amperes. Old Square might replied about low resistance values of five Point do a dorms, which is 14.73 words. And this would be our signal, sir.

Top Physics 102 Electricity and Magnetism Educators
Christina K.

Rutgers, The State University of New Jersey

Marshall S.

University of Washington

Zachary M.

Hope College

Jared E.

University of Winnipeg

Physics 102 Electricity and Magnetism Bootcamp

Lectures

Join Bootcamp