What are the readings of an ideal ammeter in the circuit if the readings of an ideal voltmeter are 5.5 V.

What are the readings of an ideal ammeter in the circuit if the readings of an ideal voltmeter are 5.5 V. The resistance of all resistors is 2 ohms.

First, we calculate the total resistance of all resistors Rtotal, taking into account that when the loads are connected in series, their total resistance is found as the sum of the resistances of the resistors, and when connected in parallel, as the reciprocal of the sum of the values ​​inverse of the resistances of the resistors. We get: Rtot = 2 ∙ Rp + 1 / ((1 / Rp) + 1 / (3 ∙ Rp)) or Rtot = 2 ∙ 2 + 1 / ((1/2) + 1 / (3 ∙ 2)) = 5.5 (Ohm), since the resistance of all resistors Rp = 2 Ohm.

To find the readings of an ideal ammeter in the circuit, we use Ohm’s law for a section of the circuit: I = U: R, where I is the current in this section, U is the voltage across it, R is its resistance. The ammeter is considered ideal if its resistance is Rа = 0 Ohm, the voltmeter is ideal, if the current Iv = 0 A does not flow through it, then R = R total = 5.5 Ohm. Since the readings of an ideal voltmeter are equal to U = 5.5 V, then I = 5.5: 5.5 = 1 (A).

Answer: 1A – readings of an ideal ammeter in the circuit.