In the given circuit, find the heat generated across the 6 Ω resistor in 100 seconds.

The answer is to be expressed as:

Q = x/100 J

Find x.

The circuit contains:

• 30 Ω resistor
• 4 Ω resistor
• 6 Ω resistor
• 7 V battery
• 2 V battery

Using Kirchhoff's laws and reducing the network, the current through the 6 Ω resistor is calculated.

Heat produced is given by:

H = I²Rt

where:

• R = 6 Ω
• t = 100 s

After solving the circuit equations, the heat generated across the 6 Ω resistor becomes:

H = 34.77 J

Therefore:

x = 3477

Final Answer

3477