5. Three resistors and two batteries are connected as shown in the figure below.

Question

5. Three resistors and two batteries are connected as shown in the figure below. The magnitude

and the direction of the currents in the unknown resistor R at the right and the 6.00 ? resistor on

the left are as shown in the figure. The current in the 4.0 ? resistance flows from B to C. The

emf of the battery on the left is unknown and is labeled as E. For parts (a) through (d) fill in the

blanks, for part (e) circle the correct choice. (Each answer is worth 5 points, no partial credit.

You can use any portion of this page or the back side of any page but these will not be graded.)

Three resistors and two batteries are connected as shown in the figure below. The magnitude and the direction of the currents in the unknown resistor R at the right and the 6.00 ? resistor on the left are as shown in the figure. The current in the 4.0 ? resistance flows from B to C. The emf of the battery on the left is unknown and is labeled as E. For parts (a) through (d) fill in the blanks, for part (e) circle the correct choice. (Each answer is worth 5 points, no partial credit. You can use any portion of this page or the back side of any page but these will not be graded.) The current flow in the 4.0 ? resistor is Amperes. The unknown resistance R is Ohms. The unknown emf E is Volts. The absolute value of the voltage difference between A and B is Volts. The voltage at point A on the figure is (i) higher (ii) lower than the voltage at point B.

Explanation / Answer

a) Iout = In

so I = 10 + 1 A = 11 A

b) kirkoff law on right loop

-10*R -11*4 + 125 = 0
R=8.1 ohms

c) left loop

-E -1*6 -4*11 + 125 = 0
E=75 V

d) 6*1 +4*11 = 6+44 = 50 V

e) higher

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