The resistances in Figure ( a ) and Figure ( b ) are all 8.3 ?, and the batterie
ID: 2136499 • Letter: T
Question
The resistances in Figure (a) and Figure (b) are all 8.3 ?, and the batteries are ideal 46 V batteries. (a) When switch S in Figure (a) below is closed, what is the change in the electric potential V1 across resistor 1, or does V1 remain the same (enter "0")? (b) When switch S in Figure (b) below is closed, what is the change in V1 across resistor 1, or does V1 remain the same (enter "0")?
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The resistances in Figure (a) and Figure (b) are all 8.3 ?, and the batteries are ideal 46 V batteries. (a) When switch S in Figure (a) below is closed, what is the change in the electric potential V1 across resistor 1, or does V1 remain the same (enter "0")? (b) When switch S in Figure (b) below is closed, what is the change in V1 across resistor 1, or does V1 remain the same (enter "0")?Explanation / Answer
b) When switch S in the figure (b) below is closed, what is the change in V1 across resistor 1, or does V1 remain the same (enter "0")?
in Fig B when switch is still open voltage across R1 is
V1* R1/(R1+R3)
as R1 and R3 are same so voltage is V1/2 = 23 V
after switch is closed
current in the circuit = V1/(R3+R1||R2)
as we know R1, R2 and R3 are same so
R1||R2 = R1/2
R3+R1||R2 = 3R1/2
current = V1/(3R1/2)
Voltage across R1 = V1-R3*i
= V1 - V1/(3/2) = V1/3 = 46/3 V
so voltage does not remains same
change in
V1 = 23 - 15.3 = 7.7 V
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