Ammeter 1 reads 0.20 A.
a. What should ammeter 3 indicate?
b. What should ammeter 4 indicate?
Given:
RA = 22-OHM
RB = 13-OHM
A1 = 0.20 A
circuit diagram needed.
To determine the values that ammeter 3 and ammeter 4 should indicate, we need to analyze the circuit and use Ohm's Law. Let's go step by step:
Step 1: Understand the circuit setup
In this circuit, we have two resistors (RA and RB) connected in parallel. The ammeter 1 (A1) is connected in series with RA. We want to find the readings for ammeter 3 (A3) and ammeter 4 (A4).
Step 2: Calculate the total resistance (RT)
When resistors are connected in parallel, you can calculate the total resistance using the formula:
1/RT = 1/RA + 1/RB
Substituting the values:
1/RT = 1/22 + 1/13
By solving this equation, we can find the value of RT.
Step 3: Calculate the total current (IT)
Now, using Ohm's Law, we can find the total current in the circuit. The total current is the sum of the currents through the resistors in parallel:
IT = A1
Here, A1 is given as 0.20 A.
Step 4: Calculate the current through resistor RB (IRB)
The total current in the circuit will divide among the resistors based on their resistances. To find the current through resistor RB, we'll use the formula:
IRB = (RB/RT) * IT
Substituting the values:
IRB = (13/RT) * 0.20
Step 5: Calculate the current through resistor RA (IRA)
Since A1 is connected in series with resistor RA, the current through resistor RA will be the same as the total current IT:
IRA = IT = A1
Step 6: Calculate the readings of ammeter 3 and ammeter 4
Now, we can determine what A3 and A4 should indicate:
a. Ammeter 3 (A3): Since A3 is connected in parallel with resistor RB, it will show the same current as IRB.
A3 = IRB
b. Ammeter 4 (A4): Since A4 is connected in series with resistor RB, it will show the same current as IRB.
A4 = IRB
By substituting the values, we can find the readings of A3 and A4.