Question

Based on the balance condition, if \[R_1 = 100 \Omega\], \[R_2 = 200 \Omega\], and \[R_3 = 50 \Omega\], what must \[R_4\] be for the bridge to be balanced?

Options

• 100 Ω

• 50 Ω

• 200 Ω

• 150 Ω

Answer 1

Using the balance condition \[\frac{R_2}{R_1} = \frac{R_4}{R_3}\], we can solve for \[R_4\]: \[R_4 = \frac{R_2 \times R_3}{R_1} = \frac{200 \times 50}{100} = \frac{10000}{100} = 100 \Omega\]. Therefore, \[R_4\] must be 100 Ω for the bridge to be balanced.