Three resistors are connected as shown in Fig. 1.37. Through the resistor of 5 2, a
current of 1 A is flowing.
(a) Find the potential difference across AB and across AC.
(b) Calculate the current across the other two resistors.
(C)What is the total resistance ?
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Answers
Answer:
potential difference ( v ) = R × I
POTENTIAL DIFFERENCE ACROSS AB=
RESISTANCE (R) = 5 OHMS
CURRENT (I) = 1 AMPERE
SO
V = 1×5
•) V= 5 VOLTS
NOW , ACROSS AC
RESISTANCE (R) = ??
CURRENT (I) = 1
now for total resistance =
by parallel law -
1/Rp = 1/R2 + 1/R3
1/Rp = 1/10 + 1/15
1/Rp =( 3 + 2)/ 30
Rp = 30 / 5 = 6 ohms ------------ eq 1
now by series law ( from eq 1 )
Rs = R1 + Rp
Rs = 5 + 6
Rs = 11 ohms -------------eq 2
now by eq 2
VOLTAGE ACROSS AC =
11 × 1 = 11 volts
B) now voltage across R2 AND R3
BY EQUATION 1
RESISTANCE= 5 OHMS
CURRENT = 1 AMPERE
HENCE
VOLTAGE = 5 × 1
= 5 volts
now
c) total resistance = 11 ohms ( from eq 2)
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# Question repeated....
Answer:
V = I × R = 1 × 5 = 5V
a)
1/Req = 1/10 + 1/15
1/Req = 5/30
Req = 6
Now, I = V/R
= 5/6
= 0.8 A
b) potential difference across A and B
dv = (5 - 0)
dv = 5 volt
potential difference across A and C
dv = { 5 + (0.8 × 6) - 0}
dv = 9.8 volt
c)
total resistance = 5 + 6 = 11 Ω
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