A hot plate of an electric oven connected to a 220 V line has two resistance coils A and B, each of 24 W resistance, which may be used separately, in series, or in parallel. What are the currents in the three cases?
Answers
Case I: 9.17 Amperes
Case II: 4.58 Amperes
Case III: 18.33 Amperes
Step-by-step explanation:
Given:
Voltage(V) = 220 Volts
Resistance of Coil A, Ra = 24 ohm
Resistance of Coil B, Rb = 24 ohm
Case I: When coils are used separately.
Applying the formula,
V=IR
We get,
I=V/R
I= 220/24= 9.17 A
Therefore, the current flowing in this circuit is 9.17 Amperes.
Case II: When coils are used in series.
Equivalent Resistance,
R = 24 + 24 = 48 ohms
Applying Formula V = IR,
I = V/R
I = 220/48= 4.58 A
Therefore the current flowing is 4.58 Amperes.
Case III: When coils are used in parallel.
Equivalent Resistance,
R= R1 R2/R1+R2
R= 24*24/24+24
R=576/48= 12ohms
Current Flowing,
I= V/R
I= 220/12 =18.33A
Therefore, the current flowing is 18.33 Amperes.
Answer:
Explanation:
Case 1: Coils used separately.
V=IR
220=24I
I=9.167 A
Case 2: Coils used in series
R
eq
=R
1
+R
2
=24+24=48 Ω
V=IR
eq
220=48I
I=4.583 A
Case 3: Coils used in parallel
R
eq
1
=
R
1
1
+
R
2
1
R
eq
=12 Ω
V=IR
eq
220=12I
I=18.334 A