Please, please, please show as much working as you can :[ 1. (a) Find the curren

Question

Please, please, please show as much working as you can :[

1.

(a) Find the current in a 12.00 ? resistor connected to a battery that has an internal resistance of 0.10 ? if the voltage across the battery (the terminal voltage) is 30.00 V.
______ A

(b) What is the emf of the battery?
______ V

2.

Consider the following figure.

(a) Find the equivalent resistance between points a and b in the figure. (R = 17.0 ?)
_______?

(b) Calculate the current in each resistor if a potential difference of 78.0 V is applied between points a and b.

(a) What maximum electrical power can an electric eel generate?
______ W

(b) Approximately how much energy does it release in two shocks?
______ J

(c) How high would a mass of 8 kg have to be lifted so that its gravitational potential energy equals the energy released in 300 such shocks?
______ m

Explanation / Answer

1.

equivalent Resistance

Req=R+r =12+0.1=12.1 ohms

so current in 9 ohms resistor is

I=V/Req =30/12.1 =2.48 A

b)

EMF of the battery

E=V+I*r =30+2.48*0.1

E=30.25 Volts

2.

equivalent Resistance

7 and R are in parallel

7*17/(7+17) =4.96 ohms

4.96 and 4 and 9 are in series

Rab=4.96+4+9 =17.96 ohms

b)

Total Current

I=V/Rab =78/17.96 =4.34 A

so

I(4) =I =4.34 A

By current divider rule

I(7)=I*(17/7+17) =3.08 A

I(17) =I*(7/7+17) =1.26 A

I(9) =I=4.34 A

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