A 1430 W radiant heater is constructed to operate at 115 V. (a) What is the current in the heater when the unit is operating? (b) What is the resistance of the heating coil? (c) How much thermal energy is produced in 1.00 h?

Given Information:

Voltage = V = 115 V

Power = P = 1430

Capacitance = 56.0 µF

Required Information:

Current = I = ?

Resistance = R = ?

Energy = E = ?

Answer:

I = 12.43 A

R = 9.25 Ω

E = 5.148x10⁶ Joules

Explanation:

(a) What is the current in the heater when the unit is operating?

According to Ohm's law

P = VI

I = P/V

I = 1430/115

I = 12.43 A

(b) What is the resistance of the heating coil?

As V = IR

R = V/I

R = 115/12.43

R = 9.25 Ω

(c) How much thermal energy is produced in 1.00 h?

E = Pt

1 hour = 3600 seconds

E = 1430*3600

E = 5.148x10⁶ Joules

Current=12.43amperes

Resistance=9.26ohms

Thermal energy=3833640joules

Explanation:

Power (p) = 1430w

Potential difference (v) = 115v

Power (p) = current (I) x potential difference (v)

1430=I x 115

Current (I) = 1430 ➗ 115

Current (I) = 12.43ampere

P=I^2 x r where r stand for resistance

1430 = (12.43) ^2 x r

r=1430 ➗ (12.43) ^2

r=1430 ➗ 154.5049

r=9.26ohms

Thermal energy (H) = I x v x t

t=1hr

t = (60 x 60) seconds

t=3600seconds

H=9.26 x 115 x 3600

H=3833640joules