Two tiny conducting Spheres A and B are identical and cary charges of-35 uC 3) a

Question

Two tiny conducting Spheres A and B are identical and cary charges of-35 uC 3) and +80 uC, respectively. The spheres are brought into contact with each other and then separated a distance of 4.5 cm. Calculate the coulomb force that each particle exerts on the other B 2414 N C 2250 N D 3686 N A 5609 N 4) R1 12 R2 15 R3 14 With the resistor values shown in the Table above, determine the value of the supply Voltage V if the current in the resistor R1 is 2.0 A [PS voltage developed in R2 is the same as that in R1] A 93.33 V B 80.00VC 74.40 VD 83.33 V

Explanation / Answer

3.

The net charge on the spheres

Qnet =-35+80=45 uC

Since the spheres are identical, the charge on each after being separated is one-half the net charge is

Q1=Q2=45/2=22.5 uC

The electrostatic force acts on each sphere is

F=KQ1Q2/r2=(9*109)(22.5*10-6)2/0.0452

F=2250 N

4.

equivalent resistance

Req =14+15*12/(15+12)=20.67 ohms

Voltage across R1 and R2

V1=V2=2*12=24 Volts

Current through R2 is

I2=24/15=1.6 A

Total current

I=2+1.6=3.6 A

Value of supply voltage is

V=3.6*20.67

V=74.4 Volts

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