Will the current increase or decrease, if two more cells are added to the circuit in 7.4? Check your…

Question

Will the current increase or decrease, if two more cells are added to the circuit in 7.4? Check your prediction using the formula.

ScanSolve AI Tutor · Accepted Answer

Okay, Success💗🎀🥹, let's tackle question 7.5.

First, we need to determine the resistance of the resistor from question 7.4, as it will be the same resistor in question 7.5.

From question 7.4:

Calculate the resistance ( $R_1$ ) using Ohm's Law ( $R = \frac{V}{I}$ ).
$R_1 = \frac{6 \text{ V}}{2 \text{ A}}$ $R_1 = 3 \ \Omega$
The resistance of the resistor is $3 \ \Omega$ .

For question 7.5:
The question states that two more cells are added to the circuit from 7.4.
An original 6 V battery typically consists of 4 cells (assuming 1.5 V per cell). Adding two more cells means adding $2 \times 1.5 \text{ V} = 3 \text{ V}$ to the original voltage.
So, the new voltage is $6 \text{ V} + 3 \text{ V} = 9 \text{ V}$ . This matches the 9 V battery shown in the diagram for 7.5.
The resistance ( $R_1$ ) remains the same at $3 \ \Omega$ .

Prediction: If the voltage increases and the resistance stays the same, the current will increase.
Identify the new voltage and the resistance for the circuit in 7.5.
New Voltage ( $V_1$ ) = $9 \text{ V}$
Resistance ( $R_1$ ) = $3 \ \Omega$
Calculate the new current ( $I_1$ ) using Ohm's Law ( $I = \frac{V}{R}$ ).
$I_1 = \frac{V_1}{R_1}$ $I_1 = \frac{9 \text{ V}}{3 \ \Omega}$ $I_1 = 3 \text{ A}$
Compare the new current with the original current.
Original current = $2 \text{ A}$
New current = $3 \text{ A}$
Since $3 \text{ A} > 2 \text{ A}$ , the current will increase.
$\text{The current will increase to } 3 \text{ A}$

Will the current increase or decrease, if two more cells are added to the circuit in 7.4? Check your prediction using the formula.