If eight resistor are connected in series to give equivalent resistanc

1.	If eight resistor are connected in series to give equivalent resistance as 48ohms, then what is value each resistor
Answer» GIVEN : ▪ Eight identical resistors are connected in series. ▪ Eq. resistance = 48Ω To Find : ▪ Value of each resistor. Solution : ↗ Eq. resistance of series connection is given by ✴ Req = R1 + R2 + ... + Rn ☞ Let resistance of each resistor be R. ATQ, All are connected in series and equivalent resistance of connection is 48Ω. ↗ Req = 48Ω ↗ R1 = R2 = ... = R8 = R → Req = R1 + R2 + ... + R8 → 48 = R + R + ... + R (8 TIMES) → 48 = 8R → R = 48/8 → R = 6Ω ፨ Value of each resistor = 6Ω

If eight resistor are connected in series to give equivalent resistance as 48ohms, then what is value each resistor

Answer»

GIVEN :

▪ Eight identical resistors are connected in series.

▪ Eq. resistance = 48Ω

To Find :

▪ Value of each resistor.

Solution :

↗ Eq. resistance of series connection is given by

✴ Req = R1 + R2 + ... + Rn

☞ Let resistance of each resistor be R.

ATQ, All are connected in series and equivalent resistance of connection is 48Ω.

↗ Req = 48Ω

↗ R1 = R2 = ... = R8 = R

→ Req = R1 + R2 + ... + R8

→ 48 = R + R + ... + R (8 TIMES)

→ 48 = 8R

→ R = 48/8

→ R = 6Ω

፨ Value of each resistor = 6Ω

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