Can a 10A Fuse Handle a 150W Radio and 240V Water Heater in Parallel?

[chawki]

Homework Statement

A radio (power = 150 W) and a water heater (resistance = 40 Q) are connected in
parallel. The current, needed for them is fused at 10 A maximum.

Homework Equations

Does the fuse stand the simultaneous use of the radio and the heater? The voItage is 240 V.

The Attempt at a Solution

r: radio
h: heater

V=V_r=V_h
Itotal=I_r+I_h

P_r=V*I_r
I_r=150/240=0.625 ampere

V_h=R*I_h
I_h = V_h/R = 240/40 = 6 amperes

Itotal = 0.625+6 = 6.625
6.625<10 so the fuse will stand

 

[Delphi51]

That looks good.
I guess the "40Q" meant "40Ω".

 

[chawki]

That looks good.
I guess the "40Q" meant "40Ω".

yesyes 40Ω , and thank you