R1=R, R2=R/2. ideal batteries have emfs E1=5E, E2=E, E3=E a. what is the potenti
ID: 2145419 • Letter: R
Question
R1=R, R2=R/2. ideal batteries have emfs E1=5E, E2=E, E3=E
a. what is the potential difference across R1?
b. what is the current through R1?
c. what is the potential difference across R2?
d. What is the current through resistor R2?
e. Use Kirchoff's current law to find an equation that relates the currents i, i1, i2.
f. apply kirchoffs laws to this circuit to obtain three independent equations. put all equations in terms R, E, i1, i2, i.
g. does the current i2 go upward or downward through resistor R2?
R1=R, R2=R/2. ideal batteries have emfs E1=5E, E2=E, E3=E what is the potential difference across R1? what is the current through R1? what is the potential difference across R2? What is the current through resistor R2? Use Kirchoff's current law to find an equation that relates the currents i, i1, i2. apply kirchoffs laws to this circuit to obtain three independent equations. put all equations in terms R, E, i1, i2, i. does the current i2 go upward or downward through resistor R2?Explanation / Answer
E1-E2-E3+i2R2=0.....(1)
-i1*R1-E2=0.......(2)
a.the potential difference across R1 is -i1*R1-E2=0......
p.d is i1*R1 is E2
b. the current through R1 is i1=E2/R...
c. the potential difference across R2 is E1-E2-E3+i2R2=0.....
i2R2=-E1+E2+E3=-3E
d. the current through resistor R2 is i2=-3E/(R/2)=-6E/R
e. Use Kirchoff's current law to find an equation that relates the currents i, i1, i2.
i2=i+i1
f. apply kirchoffs laws to this circuit to obtain three independent equations. put all equations in terms R, E, i1, i2, i.
E1-E2-E3+i2R2=0.....=3E+(i2*R/2)=0.....(1)
-i1*R1-E2=0......=i1*R-E=0.........(2)
i2=i+i1....(3)
g. does the current i2 go upward or downward through resistor R2?
since in problem d current is negative........i2 is upwards
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