Question 1 of 20
What is the fundamental principle behind the Current Divider Rule (CDR)?
The Current Divider Rule states that current divides based on the impedance of parallel branches; the lower the impedance, the greater the current.
Question 2 of 20
In a parallel circuit, how is current related to impedance according to CDR?
CDR indicates an inverse relationship: higher impedance means lower current, and vice versa.
Question 3 of 20
What is the formula to calculate the current through a resistor R1 in a parallel circuit using CDR, where I is the total current and R2 is the other resistor in parallel?
The current through R1 is found using the total current multiplied by the ratio of the opposite resistance (R2) to the total equivalent resistance (R1+R2).
Question 4 of 20
If two resistors, 10 ohms and 20 ohms, are connected in parallel and the total current is 3A, what is the current through the 10-ohm resistor?
Using CDR, I1 = 3A * (20 ohms / (10 ohms + 20 ohms)) = 2A.
Question 5 of 20
What is the equivalent impedance of two parallel branches of impedance Z1 and Z2?
For parallel impedance, the total equivalent impedance is the product divided by the sum.
Question 6 of 20
How does the current divider rule apply to inductive circuits?
The current divider rule can be applied to inductors by using inductive reactance (XL) in place of resistance (R).
Question 7 of 20
In an inductive circuit, the current through an inductor is inversely proportional to its:
The current is inversely proportional to the inductive reactance (XL).
Question 8 of 20
What is the formula to calculate the current through inductor L1 in a parallel circuit with inductors L1 and L2, where I is the total current?
The current is inversely proportional to the inductance.
Question 9 of 20
How does the current divider rule apply to capacitive circuits?
The current divider rule can be applied to capacitors, using capacitive reactance (Xc) in place of resistance.
Question 10 of 20
In a capacitive circuit, what is the relationship between current and capacitive reactance (Xc)?
Current is inversely proportional to capacitive reactance.
Question 11 of 20
What is the formula to calculate the current through capacitor C1 in a parallel circuit with capacitors C1 and C2, where I is the total current?
Using CDR with capacitors.
Question 12 of 20
What is the unit of impedance?
Impedance is measured in ohms.
Question 13 of 20
If the impedance of one branch is significantly higher than another branch, how does the current divide?
The majority of the current flows through the path of least resistance (or impedance).
Question 14 of 20
What happens to the total current in a parallel circuit?
The total current splits into different branches based on the impedance of each branch.
Question 15 of 20
In a parallel circuit, if one branch opens (becomes infinite impedance), what happens to the current in the other branches?
The current through other parallel branches is unaffected by an open branch, as long as the voltage source remains constant.
Question 16 of 20
Which of the following is NOT a component used in the current divider rule calculations?
Voltage is a parameter, but not directly used in the current divider formula.
Question 17 of 20
What is the relationship between the equivalent impedance (Req) and the individual impedances (Z1, Z2) in a parallel circuit?
The reciprocal of the equivalent impedance is the sum of the reciprocals of individual impedances.
Question 18 of 20
If the total current is 10A and two parallel branches have impedances of 2 ohms and 8 ohms, what is the current in the 8-ohm branch?
I1 = 10A * (2 ohms / (2 ohms + 8 ohms)) = 2A.
Question 19 of 20
What is the general formula for CDR applied to any parallel circuit with multiple branches?
The current through a branch is found by multiplying the total current by the ratio of the impedance of the other branches (Z_opposite) divided by the total impedance (Z_total).
Question 20 of 20
What is the impact of frequency on impedance in inductive and capacitive circuits when applying CDR?
Frequency directly affects inductive and capacitive reactance, influencing the impedance and, consequently, current division.
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