Consider the circuit shown in the figure. Suppose thatE = 15V . Part A Find the

Question

Consider the circuit shown in the figure. Suppose thatE = 15V .

Part A Find the current through the resistor a.

Part B Find the potential difference across the resistor a.

Part C Find the current through the resistor b.

Part D Find the potential difference across the resistor b.

Part E Find the current through the resistor c.

Part F Find the potential difference across the resistor c.

Part G Find the current through the resistor d.

Part H Find the potential difference across the resistor d.

Consider the circuit shown in the figure. Suppose thatE = 15V . Part A Find the current through the resistor a. Part B Find the potential difference across the resistor a. Part C Find the current through the resistor b. Part D Find the potential difference across the resistor b. Part E Find the current through the resistor c. Part F Find the potential difference across the resistor c. Part G Find the current through the resistor d. Part H Find the potential difference across the resistor d.

Explanation / Answer

resistors c and d in series

R1 = Rc + Rd = 5+5 = 10 ohm

R1 and Rb in parallel

1/R2 = 1/R1 + 1/Rb

1/R2 = 1/10 + 1/10

R2 = 5 ohm

Reff = R2 + Ra = 5+5 = 10 ohm

current i = V/Reff = 15/10 = 1.5 A

a) current through resistor a = Ia = i = 1.5 A

b) Voltage across resistor a = Va = Ia*Ra = 1.5*5 = 7.5 V

c) Voltage across resistor b = Vb = E - Va = 15 - 7.5 = 7.5 V

Ib = Vb/Rb = 7.5/10 = 0.75 A

d) Voltage across resistor b = Vb = 7.5 V

e) current through resistor c = Ia - Ib = 1.5-0.75 = 0.75 A

f) voltage across c = Vc = Ic*Rc = 0.75*5 = 3.75 V

g) current through resistor 'd' Id= Ic = 0.75 A

h) voltage across d = Vd = Id*Rd = 0.75*5 = 3.75 V

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